Partial Differential Equations and Applications

2020 - 2025

Current editor(s): Zhitao Zhang

From Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

Access Statistics for this journal.
Is something missing from the series or not right? See the RePEc data check for the archive and series.

Volume 5, issue 6, 2024

Regularizing effect of lower order terms in nonlinear Dirichlet problems with singularity pp. 1-19

Abdelaaziz Sbai, Youssef El Hadfi and Mounim El Ouardy

Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations pp. 1-47

Christian Beck, Lukas Gonon and Arnulf Jentzen

Non linear singular drifts and fractional operators pp. 1-39

Diego Chamorro and Stéphane Menozzi

Solvability of a semilinear parabolic equation on Riemannian manifolds pp. 1-22

Xinran Wei and Mengmeng Zhang

Travelling waves for discrete stochastic bistable equations pp. 1-23

Carina Geldhauser and Christian Kuehn

Volume 5, issue 5, 2024

Stability analysis for the anisotropic curve shortening flow of planar networks pp. 1-42

Michael Gößwein, Matteo Novaga and Paola Pozzi

The point scatterer approximation for wave dynamics pp. 1-30

Andrea Mantile and Andrea Posilicano

New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane pp. 1-45

Andreas Chatziafratis and Tohru Ozawa

Positive solutions of nonlinear elliptic equations involving unbounded variable exponents and convection term pp. 1-15

Anderson Araujo, Luiz Faria and Dumitru Motreanu

Remark on the uniqueness of the mild solution of SQG equation pp. 1-9

Tsukasa Iwabuchi and Ryoma Ueda

Volume 5, issue 4, 2024

Global weak solutions to a phase-field model for seawater solidification with melt convection pp. 1-17

Md Akram Hossain and Li Ma

On global $$W^{2,\delta }$$ W 2, δ estimates for the Monge–Ampère equation on general bounded convex domains pp. 1-10

Nam Q. Le

Uniqueness of continuation for semilinear elliptic equations pp. 1-14

Mourad Choulli

Parameter analysis in continuous data assimilation for three-dimensional Brinkman–Forchheimer-extended Darcy model pp. 1-32

Débora A. F. Albanez and Maicon José Benvenutti

A Lipschitz metric for $$\alpha $$ α -dissipative solutions to the Hunter–Saxton equation pp. 1-33

Katrin Grunert and Matthew Tandy

Notes on asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus pp. 1-15

Futoshi Takahashi

Volume 5, issue 3, 2024

Existence of positive solutions for a p-Schrödinger–Kirchhoff integro-differential equation with critical growth pp. 1-31

Juan Mayorga-Zambrano and Henry Cumbal-López

On the existence, regularity and uniqueness of $$L^p$$ L p -solutions to the steady-state 3D Boussinesq system in the whole space and with gravity acceleration pp. 1-30

Oscar Jarrín

On local decay of inflaton and axion fields pp. 1-30

Matías Morales and Claudio Muñoz

Two-scale convergence of a class of r-forms: rewriting of periodic homogenization of Maxwell’s equations pp. 1-29

Alphonse Mba, Marcial Nguemfouo and Hubert Nnang

Global $$L^\infty $$ L ∞ -estimate for general quasilinear elliptic equations in arbitrary domains of $${{\mathbb {R}}}^N$$ R N pp. 1-15

Siegfried Carl and Hossein Tehrani

Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition pp. 1-55

Takamori Kato and Kotaro Tsugawa

Bifurcations and dynamical behaviors for a generalized delayed-diffusive Maginu model pp. 1-21

Xiaowei Ju

An MP-Newton method for finding orthogonal-max type critical points and its application for calculating multiple solutions of semilinear elliptic equations: part I—method pp. 1-26

Xudong Yao

Continuity estimates for Riesz potentials on polygonal boundaries pp. 1-20

Xavier Claeys, Muhammad Hassan and Benjamin Stamm

Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields pp. 1-28

Pu-Zhao Kow and Henrik Shahgholian

Volume 5, issue 2, 2024

Existence and multiplicity of solutions for a locally coercive elliptic equation pp. 1-15

David Arcoya, Francisco Odair Paiva and José M. Mendoza

Scattering problems for the wave equation in 1D: D’Alembert-type representations and a reconstruction method pp. 1-25

Konstantinos Kalimeris and Leonidas Mindrinos

Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems pp. 1-19

Mohsen Timoumi

Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach pp. 1-28

Hamza Zougheib, Toufic El Arwadi, Mohammad El-Hindi and Abdelaziz Soufyane

Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials pp. 1-18

Alexander Dicke, Albrecht Seelmann and Ivan Veselić

Volume 5, issue 1, 2024

Hyper-reduction for parametrized transport dominated problems via adaptive reduced meshes pp. 1-19

Sara Grundel and Neeraj Sarna

Uniform convergence for linear elastostatic systems with periodic high contrast inclusions pp. 1-39

Xin Fu and Wenjia Jing

Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph pp. 1-36

Masaru Hamano, Masahiro Ikeda, Takahisa Inui and Ikkei Shimizu

Hamilton and Li–Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow pp. 1-38

Ali Taheri and Vahideh Vahidifar

Volume 4, issue 6, 2023

Solving stationary inverse heat conduction in a thin plate pp. 1-26

Jennifer Chepkorir, Fredrik Berntsson and Vladimir Kozlov

Dirac cohomology on manifolds with boundary and spectral lower bounds pp. 1-36

Simone Farinelli

Combining the hybrid mimetic mixed method with the Scharfetter-Gummel scheme for magnetised transport in plasmas pp. 1-27

Hanz Martin Cheng, Jan ten Thije Boonkkamp, Jesper Janssen, Diana Mihailova and Jan van Dijk

Stochastic evolution equations with rough boundary noise pp. 1-27

Alexandra Neamţu and Tim Seitz

Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions pp. 1-51

Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck and Loïc Pellissier

Sharp well-posedness of the biharmonic Schrödinger equation in a quarter plane pp. 1-25

E. Compaan and N. Tzirakis

Volume 4, issue 5, 2023

A damped Kačanov scheme for the numerical solution of a relaxed p(x)-Poisson equation pp. 1-20

Pascal Heid

Semiclassical states of a type of Dirac–Klein–Gordon equations with nonlinear interacting terms pp. 1-26

Yanheng Ding, Qi Guo and Yuanyang Yu

Well posedness for the Poisson problem on closed Lipschitz manifolds pp. 1-19

Michaël Ndjinga and Marcial Nguemfouo

Besov regularity of inhomogeneous parabolic PDEs pp. 1-61

Cornelia Schneider and Flóra Orsolya Szemenyei

Neural networks for first order HJB equations and application to front propagation with obstacle terms pp. 1-36

Olivier Bokanowski, Averil Prost and Xavier Warin

On the range of unsolvable systems induced by complex vector fields pp. 1-29

A. V. da Silva

Volume 4, issue 4, 2023

Asymptotics of solutions for the fractional modified Korteweg–de Vries equation of order $$\alpha \in \left( 2,3\right) $$ α ∈ 2, 3 pp. 1-15

Rafael Carreño-Bolaños, Nakao Hayashi and Pavel I. Naumkin

Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation pp. 1-33

Tanmay Sarkar

On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam pp. 1-14

Paulo Amorim, João-Paulo Dias and Assis F. Martins

Existence and non-uniqueness of stationary states for the Vlasov–Poisson equation on $${{\mathbb {R}}}^3$$ R 3 subject to attractive background charges pp. 1-10

Raphael Winter

Choquard equations with mixed potential pp. 1-18

Romildo N. Lima and Marco A. S. Souto

Energy equality of MHD system under a weaker condition on magnetic field pp. 1-18

Taichi Eguchi

Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus pp. 1-31

Akihiko Takahashi and Toshihiro Yamada

Sparse grid time-discontinuous Galerkin method with streamline diffusion for transport equations pp. 1-25

Andreas Zeiser

Fourth-order nonlinear degenerate problem for image decomposition pp. 1-25

Ahmed Nokrane, Nour Eddine Alaa and Fatima Aqel

Preface pp. 1-3

Marek Fila, Kazuhiro Ishige, Tohru Ozawa and Senjo Shimizu

On an indefinite nonhomogeneous equation with critical exponential growth pp. 1-12

Karla Carolina V. de Sousa and Leandro S. Tavares

Nonlinear semigroups for nonlocal conservation laws pp. 1-26

Mihály Kovács and Mihály A. Vághy

A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations pp. 1-20

Jiang Yu Nguwi and Nicolas Privault

Higher-order error estimates for physics-informed neural networks approximating the primitive equations pp. 1-35

Ruimeng Hu, Quyuan Lin, Alan Raydan and Sui Tang

A regularized system for the nonlinear variational wave equation pp. 1-71

Katrin Grunert and Audun Reigstad

Volume 4, issue 3, 2023

On the antimaximum principle for the p-Laplacian and its sublinear perturbations pp. 1-38

Vladimir Bobkov and Mieko Tanaka

Global logarithmic stability of a Cauchy problem for anisotropic wave equations pp. 1-44

Mourad Bellassoued and Mourad Choulli

Correction to: A continuum framework for phase field with bulk-surface dynamics pp. 1-1

Luis Espath

General decay of the solution to a nonlinear viscoelastic beam with delay pp. 1-25

Ammar Khemmoudj

Uniform stability of a thermodiffusion Timoshenko beam pp. 1-20

Fayssal Djellali, Tijani A. Apalara and Mohamed Zitouni

Phragmén–Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition pp. 1-13

Keisuke Abiko

Existence of solutions for resonant double phase problems with mixed boundary value conditions pp. 1-17

Yihao Yang, Wulong Liu, Patrick Winkert and Xingye Yan

Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients pp. 1-18

Pascal Remy

Volume 4, issue 2, 2023

Mittag-leffler-type function of arbitrary order and their application in the fractional kinetic equation pp. 1-25

M. A. Pathan and Maged G. Bin-Saad

Stability of neutral Volterra integro-differential equations with infinite delay pp. 1-7

Xiushuai Li and Jiao Jiang

A remake of Bourgain–Brezis–Mironescu characterization of Sobolev spaces pp. 1-36

Guy Fabrice Foghem Gounoue

Local bounds of the gradient of weak solutions to the porous medium equation pp. 1-35

Ugo Gianazza and Juhana Siljander

Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator pp. 1-35

Claudianor O. Alves and Tahir Boudjeriou

On rotational surfaces with circular boundary and almost constant mean curvature pp. 1-6

Jason Minghan Dong

Well-posedness for the initial value problem associated to the Zakharov–Kuznetsov (ZK) equation in asymmetric spaces pp. 1-12

Émile Deléage and Felipe Linares

Topological approaches to knotted electric charge distributions pp. 1-12

Max Lipton

Observability for Schrödinger equations with quadratic Hamiltonians pp. 1-33

Alden Waters

Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces pp. 1-16

Danilo F. Silva, Eraldo A. Lima and Henrique F. Lima

Solution curve for linear control systems on Lie groups pp. 1-18

João Paulo Lima de Oliveira, Alexandre J. Santana and Simão N. Stelmastchuk

An energy-based deep splitting method for the nonlinear filtering problem pp. 1-27

Kasper Bågmark, Adam Andersson and Stig Larsson

On concentration in vortex sheets pp. 1-39

Samuel Lanthaler

Volume 4, issue 1, 2023

Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet pp. 1-12

Leila Setayeshgar

On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena pp. 1-20

Young-Pil Choi

A continuum framework for phase field with bulk-surface dynamics pp. 1-17

Luis Espath