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Content
August 2021, Volume 2, Issue 4
- 1-23 Optimal error estimate for a space-time discretization for incompressible generalized Newtonian fluids: the Dirichlet problem
by Luigi C. Berselli & Michael Růžička - 1-25 Describing limits of integrable functions as grid functions of nonstandard analysis
by Emanuele Bottazzi - 1-25 Scattering resonances for a three-dimensional subwavelength hole
by Maryam Fatima & Junshan Lin - 1-26 Transport and continuity equations with (very) rough noise
by C. Bellingeri & A. Djurdjevac & P. K. Friz & N. Tapia - 1-30 Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance
by Norman Noguera & Ademir Pastor - 1-37 Regularity properties of the cubic biharmonic Schrödinger equation on the half line
by Engin Başakoğlu - 1-40 Modal approximation for plasmonic resonators in the time domain: the scalar case
by Lorenzo Baldassari & Pierre Millien & Alice L. Vanel - 1-42 The Navier–Stokes equations on the plane with time-dependent external forces
by Masao Yamazaki - 1-48 Solving high-dimensional Hamilton–Jacobi–Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space
by Nikolas Nüsken & Lorenz Richter - 1-51 Electromagnetic field enhancement in a subwavelength rectangular open cavity
by Yixian Gao & Peijun Li & Xiaokai Yuan
June 2021, Volume 2, Issue 3
- 1-1 Publisher Correction to: Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis
by Gabriella Bretti & Laurent Gosse - 1-5 Improved regularity criterion for the 3D Navier–Stokes equations via the gradient of one velocity component
by Sadek Gala & Maria Alessandra Ragusa - 1-13 On sublinear fractional Schrödinger–Poisson systems
by Abderrazek Benhassine - 1-13 Regularity estimates for nonlocal equations with an asymptotic property
by Disson Prazeres & Aelson Sobral - 1-14 The Keller–Segel system on bounded convex domains in critical spaces
by Matthias Hieber & Klaus Kress & Christian Stinner - 1-19 Multi-domain spectral approach for the Hilbert transform on the real line
by Christian Klein & Julien Riton & Nikola Stoilov - 1-20 On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations
by Fábio Natali & Eleomar Cardoso & Sabrina Amaral - 1-24 Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force
by Hiroyoshi Mitake & Longjie Zhang - 1-29 Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems
by Gerhard Unger - 1-29 Attraction–repulsion taxis mechanisms in a predator–prey model
by Jonathan Bell & Evan C. Haskell - 1-36 On the uniqueness of a suitable weak solution to the Navier–Stokes Cauchy problem
by Francesca Crispo & Paolo Maremonti
April 2021, Volume 2, Issue 2
- 1-8 A uniqueness result for the Sine-Gordon breather
by Rainer Mandel - 1-12 An alternative proof of $$L^q$$ L q – $$L^r$$ L r estimates of the Oseen semigroup in higher dimensional exterior domains
by Toshiaki Hishida - 1-16 Continuity of selected pullback attractors
by Rodrigo A. Samprogna & Jacson Simsen - 1-18 Uniform estimates for fractional operators
by Reinhard Farwig & Kazuyuki Tsuda - 1-20 Regularity of the m-symphonic map
by Masashi Misawa & Nobumitsu Nakauchi - 1-20 On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev–Gevrey space
by Abdelkerim Chaabani - 1-22 Some results on positive solutions of a Kirchhoff type problem with indefinite conditions
by Jiaqing Hu & Qiangqiang Yang - 1-22 Fourth-order nonlocal type elliptic problems with indefinite nonlinearities
by Edcarlos D. Silva & J. C. Albuquerque & T. R. Cavalcante - 1-26 Analytical preconditioners for Neumann elastodynamic boundary element methods
by Stéphanie Chaillat & Marion Darbas & Frédérique Le Louër - 1-27 On averaged exponential integrators for semilinear wave equations with solutions of low-regularity
by Simone Buchholz & Benjamin Dörich & Marlis Hochbruck - 1-27 A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications
by Nao Hamamuki & Qing Liu - 1-27 On the existence of positive solutions to a certain class of semilinear elliptic equations
by Norihisa Ikoma - 1-34 On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian
by E. B. dos Santos & R. Leitão - 1-34 Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis
by Gabriella Bretti & Laurent Gosse
February 2021, Volume 2, Issue 1
- 1-1 Publisher Correction to: Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer
by Niko Sauer - 1-1 Publisher Correction to: Runge–Kutta approximation for C0-semigroups in the graph norm with applications to time domain boundary integral equations
by Alexander Rieder & Francisco-Javier Sayas & Jens Markus Melenk - 1-10 Phaseless inverse uniqueness of a three-dimensional scattering problem of second type
by Lung-Hui Chen - 1-10 Precise blowup rate near the boundary of boundary blowup solutions to k-Hessian equation
by Kazuhiro Takimoto - 1-12 Existence and nonexistence results for critical growth fractional elliptic systems
by Fengshuang Gao & Yuxia Guo - 1-15 Global existence of classical solutions to a chemotaxis-haptotaxis model
by Jozil Takhirov - 1-16 Existence of ground state solutions of the coupled nonlinear Hartree type system with attractive couplings
by Jun Wang & Song Wei - 1-17 Multilane analysis of a viscous second-order macroscopic traffic flow model
by Gabriel Obed Fosu & Francis Tabi Oduro & Carlo Caligaris - 1-20 Liouville type theorems for stationary Navier–Stokes equations
by Tai-Peng Tsai - 1-24 Neural networks-based backward scheme for fully nonlinear PDEs
by Huyên Pham & Xavier Warin & Maximilien Germain - 1-26 Stochastic optimal transport revisited
by Toshio Mikami - 1-27 Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems
by Masamitsu Suzuki - 1-28 Phase transitions arising in stochastic ergodic control associated with viscous Hamilton–Jacobi equations with bounded inward drift
by Naoyuki Ichihara - 1-30 Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method
by Giovany M. Figueiredo & Segundo Manuel A. Salirrosas - 1-30 Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity
by Halley Gomes & Arlúcio Viana - 1-32 Existence of solution for a class of elliptic problems in exterior domain with discontinuous nonlinearity
by Claudianor O. Alves & Tuhina Mukherjee - 1-34 Stationary mean-field games with logistic effects
by Diogo Aguiar Gomes & Ricardo de Lima Ribeiro
December 2020, Volume 1, Issue 6
- 1-11 A logarithmically improved regularity criterion for the Boussinesq equations in a bounded domain
by Ahmad M. Alghamdi & Sadek Gala & Maria Alessandra Ragusa - 1-16 Existence of multiple solutions to semilinear Dirichlet problem for subelliptic operator
by Hua Chen & Hong-Ge Chen & Xin-Rui Yuan - 1-20 Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics
by Stefan Schoder & Klaus Roppert & Manfred Kaltenbacher - 1-20 All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function
by Yasuhiro Fujita & Nao Hamamuki & Norikazu Yamaguchi - 1-20 Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer
by Niko Sauer - 1-23 Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations
by Kaye Silva & Steffânio M. Sousa - 1-26 Global existence of solutions to some equations modeling phase separation of self-propelled particles
by Hantaek Bae - 1-26 Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term
by Yoshikazu Giga & Norbert Požár - 1-29 Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations
by Mustafa Almushaira & Fei Liu - 1-34 Asymptotic modelling of Skin-effects in coaxial cables
by Geoffrey Beck & Sébastien Imperiale & Patrick Joly - 1-36 Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media
by Sonia Fliss & Laure Giovangigli - 1-47 Runge–Kutta approximation for $$C_0$$ C 0 -semigroups in the graph norm with applications to time domain boundary integral equations
by Alexander Rieder & Francisco-Javier Sayas & Jens Markus Melenk
October 2020, Volume 1, Issue 5
- 1-10 Professor Dajun Guo: a true mathematician and educator
by Jinxian Sun & Xing-Bin Pan & Yihong Du & Zhaoli Liu & Zhitao Zhang - 1-14 On spectral asymptotics and bifurcation for Carrier equations with odd superlinear term
by Yu Zhang & Baoqiang Yan - 1-15 Strictly convex solutions for singular Monge–Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior
by Meiqiang Feng & Huayuan Sun & Xuemei Zhang - 1-15 Minimal submanifolds in a metric measure space
by Xu Cheng & Detang Zhou - 1-15 Partial symmetry of normalized solutions for a doubly coupled Schrödinger system
by Haijun Luo & Zhitao Zhang - 1-17 Sign-changing and constant-sign solutions for elliptic problems involving nonlocal integro-differential operators
by Huiqin Lu & Xinmin Qu & Jianing Wang - 1-18 Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy
by Lishan Liu & Fenglong Sun & Yonghong Wu - 1-19 Positive and negative solutions for the nonlinear fractional Kirchhoff equation in $${\mathbb {R}}^{N}$$ R N
by Yang Wang & Yansheng Liu - 1-19 Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities
by Zhiqing Han & Ye Xue - 1-20 The Brezis–Nirenberg type double critical problem for the Choquard equation
by Li Cai & Fubao Zhang - 1-21 Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms
by Thomas Bartsch & Qianqiao Guo - 1-25 Normalized solutions for a class of nonlinear Choquard equations
by Thomas Bartsch & Yanyan Liu & Zhaoli Liu - 1-25 Propagation, diffusion and free boundaries
by Yihong Du - 1-56 Maxwell–Stokes system with $$L^2$$ L 2 boundary data and Div–Curl system with potential
by Xing-Bin Pan
August 2020, Volume 1, Issue 4
- 1-11 Formulation of a maximum principle satisfying a numerical scheme for traffic flow models
by Oluwaseun Farotimi & Kuppalapalle Vajravelu - 1-11 ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms
by Shuhei Kitano - 1-16 Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form
by Xiaoqin Guo & Hung V. Tran & Yifeng Yu - 1-17 Sweeping preconditioners for stratified media in the presence of reflections
by Janosch Preuß & Thorsten Hohage & Christoph Lehrenfeld - 1-20 Existence of solutions for a class of IBVP for nonlinear hyperbolic equations
by Svetlin Georgiev Georgiev & Mohamed Majdoub - 1-24 Structure aware Runge–Kutta time stepping for spacetime tents
by Jay Gopalakrishnan & Joachim Schöberl & Christoph Wintersteiger - 1-25 Stability analysis of a delayed sir epidemic model with diffusion and saturated incidence rate
by Abdelhadi Abta & Salahaddine Boutayeb & Hassan Laarabi & Mostafa Rachik & Hamad Talibi Alaoui - 1-25 A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations
by Håkon Sem Fure & Sébastien Pernet & Margot Sirdey & Sébastien Tordeux - 1-26 Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation
by A. Gibbs & D. P. Hewett & D. Huybrechs & E. Parolin - 1-31 Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model
by Xiangsheng Xu - 1-41 A game theoretical approach for a nonlinear system driven by elliptic operators
by Alfredo Miranda & Julio D. Rossi
June 2020, Volume 1, Issue 3
- 1-26 The topological contribution of the critical points at infinity for critical fractional Yamabe-type equations
by Khadijah Abdullah Sharaf & Hichem Chtioui - 1-41 Asymptotic behavior for a class of derivative nonlinear Schrödinger systems
by Soichiro Katayama & Daisuke Sakoda
April 2020, Volume 1, Issue 2
- 1-12 Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity
by Dongdong Sun & Zhitao Zhang - 1-26 Numerical continuation for a fast-reaction system and its cross-diffusion limit
by Christian Kuehn & Cinzia Soresina - 1-34 A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations
by Martin Hutzenthaler & Arnulf Jentzen & Thomas Kruse & Tuan Anh Nguyen - 1-54 Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations
by David C. Del Rey Fernández & Mark H. Carpenter & Lisandro Dalcin & Stefano Zampini & Matteo Parsani
February 2020, Volume 1, Issue 1
- 1-13 Characterization of harmonic functions by the behavior of means at a single point
by Ricardo Estrada - 1-15 The effects of convolution and gradient dependence on a parametric Dirichlet problem
by Dumitru Motreanu & Calogero Vetro & Francesca Vetro - 1-15 Hardy type inequalities with spherical derivatives
by Neal Bez & Shuji Machihara & Tohru Ozawa - 1-20 Decay in the one dimensional generalized Improved Boussinesq equation
by Christopher Maulén & Claudio Muñoz - 1-32 The exterior Calderón operator for non-spherical objects
by Gerhard Kristensson & Ioannis G. Stratis & Niklas Wellander & Athanasios N. Yannacopoulos - 1-39 Long time behavior of a model for the evolution of morphogens in a growing tissue
by G. M. Coclite & M. M. Coclite