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 3, issue 6, 2022

Exhaustive existence and non-existence results for Hardy–Hénon equations in $${{\,\mathrm{{\textbf{R}}}\,}}^n$$ R n pp. 1-38

Yoshikazu Giga and Quốc Anh Ngô

Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the $$L^p$$ L p framework pp. 1-38

Hua Qiu and Zheng-an Yao

Finite element approximation of invariant manifolds by the parameterization method pp. 1-38

Jorge Gonzalez, J. D. Mireles James and Necibe Tuncer

From agent-based models to the macroscopic description of fake-news spread: the role of competence in data-driven applications pp. 1-26

J. Franceschi, L. Pareschi and M. Zanella

Energy asymptotics for the strongly damped Klein–Gordon equation pp. 1-12

Haidar Mohamad

Stability of mKdV breathers on the half-line pp. 1-21

Miguel A. Alejo, Márcio Cavalcante and Adán J. Corcho

Existence and non-existence of global solutions for a heat equation with degenerate coefficients pp. 1-16

Ricardo Castillo, Omar Guzmán-Rea and María Zegarra

Nonlinear fractional Schrödinger equation on the half-Line pp. 1-27

Gerardo Huaroto

A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat pp. 1-19

K. D. Searle and J. H. Vuuren

Similarity solutions for imploding strong shock waves in a van der Waals gas pp. 1-22

Ankita Sharma and Rajan Arora

Deep learning schemes for parabolic nonlocal integro-differential equations pp. 1-35

Javier Castro

Families of solutions to the KPI equation given by an extended Darboux transformation pp. 1-14

Pierre Gaillard

Large time asymptotics for the fractional modified Korteweg-de Vries equation with $$\alpha \in \left( 2,4\right) $$ α ∈ 2, 4 pp. 1-28

Nakao Hayashi, Pavel I. Naumkin and Isahi Sánchez-Suárez

On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation pp. 1-40

Giuseppe Maria Coclite and Lorenzo Ruvo

Higher integrability for doubly nonlinear parabolic systems pp. 1-41

Verena Bögelein, Frank Duzaar and Christoph Scheven

Volume 3, issue 5, 2022

Secondary bifurcations in semilinear ordinary differential equations pp. 1-39

Toru Kan

On a hybrid continuum-kinetic model for complex fluids pp. 1-28

A. Chertock, P. Degond, G. Dimarco, M. Lukáčová-Medvid’ová and A. Ruhi

Editorial pp. 1-2

Manfred Kaltenbacher and Jens Markus Melenk

Normalized solutions of Kirchhoff equations with critical and subcritical nonlinearities: the defocusing case pp. 1-16

Paulo C. Carrião, Olímpio H. Miyagaki and André Vicente

Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres pp. 1-19

Shuichi Sato

The effect of the domain topology on the number of positive solutions for an elliptic system pp. 1-23

Giovany M. Figueiredo and Leticia S. Silva

Nonlinear schrödinger equations with the third order dispersion on modulation spaces pp. 1-21

X. Carvajal and M. Panthee

Uniform convergent scheme for discrete-ordinate radiative transport equation with discontinuous coefficients on unstructured quadrilateral meshes pp. 1-20

Yihong Wang, Min Tang and Jingyi Fu

Functional analytic properties and regularity of the Möbius-invariant Willmore flow in $${\mathbf {R}}^n$$ R n pp. 1-48

Ruben Jakob

Large-time behaviour of solutions to the surface quasi-geostrophic equation pp. 1-17

Dáithí Ó hAodha and Tsukasa Iwabuchi

Eckhaus instability of stationary patterns in hyperbolic reaction–diffusion models on large finite domains pp. 1-32

Giancarlo Consolo and Gabriele Grifó

Volume 3, issue 4, 2022

Weak–strong uniqueness for the isentropic Euler equations with possible vacuum pp. 1-21

Shyam Sundar Ghoshal, Animesh Jana and Emil Wiedemann

Numerical methods for the hyperbolic Monge-Ampère equation based on the method of characteristics pp. 1-42

M. W. M. C. Bertens, E. M. T. Vugts, M. J. H. Anthonissen, J. H. M. Thije Boonkkamp and W. L. IJzerman

Preface pp. 1-9

Kazuhiro Ishige, Tohru Ozawa, Senjo Shimizu and Yasushi Taniuchi

Rectifiability of divergence-free fields along invariant 2-tori pp. 1-32

David Perrella, David Pfefferlé and Luchezar Stoyanov

Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms pp. 1-41

Philipp Grohs, Arnulf Jentzen and Diyora Salimova

Asymptotic analysis of subwavelength halide perovskite resonators pp. 1-28

Konstantinos Alexopoulos and Bryn Davies

Large-time behavior of solutions of parabolic equations on the real line with convergent initial data III: unstable limit at infinity pp. 1-27

Antoine Pauthier and Peter Poláčik

A Duistermaat–Heckman type formula for the based loop group pp. 1-16

Jack Ding and Lisa Jeffrey

Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties pp. 1-30

Andrea Medaglia, Andrea Tosin and Mattia Zanella

Orbital stability and instability of periodic wave solutions for the $$\phi ^4$$ ϕ 4 -model pp. 1-31

José Manuel Palacios

Oscillatory decay in a degenerate parabolic equation pp. 1-15

Michael Winkler

Discontinuous stationary solutions to certain reaction-diffusion systems pp. 1-15

Szymon Cygan, Anna Marciniak-Czochra and Grzegorz Karch

Threshold odd solutions to the nonlinear Schrödinger equation in one dimension pp. 1-45

Stephen Gustafson and Takahisa Inui

Volume 3, issue 3, 2022

Local well-posedness of the coupled Yang–Mills and Dirac system in temporal gauge pp. 1-23

Hartmut Pecher

A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data pp. 1-13

Ihor Borachok, Roman Chapko and B. Tomas Johansson

Applications of p-harmonic transplantation for functional inequalities involving a Finsler norm pp. 1-17

Sadaf Habibi and Futoshi Takahashi

Second-order diffusion limit for the phonon transport equation: asymptotics and numerics pp. 1-17

Anjali Nair, Qin Li and Weiran Sun

Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues pp. 1-16

Isaac Harris

Global existence of solutions of area-preserving curvature flow of a convex plane curve in an inhomogeneous medium pp. 1-16

R. Lui and H. Ninomiya

Cauchy problem for the ES-BGK model with the correct Prandtl number pp. 1-9

Sung-jun Son and Seok-Bae Yun

Heat equation with an exponential nonlinear boundary condition in the half space pp. 1-44

Giulia Furioli, Tatsuki Kawakami and Elide Terraneo

Transport equations with inflow boundary conditions pp. 1-20

L. Ridgway Scott and Sara Pollock

The Gauss map of minimal surfaces in $${\mathbb {S}}^2 \times {\mathbb {R}}$$ S 2 × R pp. 1-20

Iury Domingos

A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon pp. 1-20

Andrew Haar and Petronela Radu

Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis pp. 1-21

Takashi Arima, Maria Cristina Carrisi, Sebastiano Pennisi and Tommaso Ruggeri

Volume 3, issue 2, 2022

Global in time solvability for a semilinear heat equation without the self-similar structure pp. 1-32

Yohei Fujishima and Norisuke Ioku

Existence and decay of global solutions for the Kuramoto–Sivashinsky–Zakharov–Kuznetsov equation posed on rectangles pp. 1-17

N. A. Larkin

On a sharp weighted Sobolev inequality on the upper half-space and its applications pp. 1-17

Jianjun Zhang, Diego Felix and Everaldo Medeiros

Rotational self-friction problem of elastic rods pp. 1-17

Mohamed Ali Latrach and Mourad Chamekh

Preface pp. 1-2

Shigeaki Koike

Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient pp. 1-27

Mouhamed Moustapha Fall, Tadele Mengesha, Armin Schikorra and Sasikarn Yeepo

Existence and multiplicity of solutions for Schrödinger equations with asymptotically linear nonlinearities allowing interaction with essential spectrum pp. 1-19

Linjie Song

On the asymptotic expression of the time-dependent solution of an M/G/1 queueing model pp. 1-16

Geni Gupur

Ground states for Maxwell’s equations in nonlocal nonlinear media pp. 1-16

Rainer Mandel

Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure pp. 1-16

Pavol Quittner

Entire solutions with moving singularities for a semilinear heat equation with a critical exponent pp. 1-16

Jin Takahashi

Time-periodic flows of magnetic fluids pp. 1-24

Jáuber C. Oliveira

Ground state solution for nonlocal scalar field equations involving an integro-differential operator pp. 1-14

Ronaldo C. Duarte

Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials pp. 1-18

Yuki Osada

Dynamical universality for random matrices pp. 1-51

Yosuke Kawamoto and Hirofumi Osada

Volume 3, issue 1, 2022

Maximal regularity and a singular limit problem for the Patlak–Keller–Segel system in the scaling critical space involving BMO pp. 1-56

Masaki Kurokiba and Takayoshi Ogawa

Local regularity conditions on initial data for local energy solutions of the Navier–Stokes equations pp. 1-19

Kyungkeun Kang, Hideyuki Miura and Tai-Peng Tsai

Newton’s second law with a semiconvex potential pp. 1-34

Ryan Hynd

(Non-)convergence of solutions of the convective Allen–Cahn equation pp. 1-11

Helmut Abels

Continuum of positive solutions of superlinear fractional Laplacian problems pp. 1-11

Maya Chhetri, Petr Girg and Elliott Hollifield

Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime pp. 1-10

Kimitoshi Tsutaya and Yuta Wakasugi

On some regularity results of parabolic problems with nonlinear perturbed terms and general data pp. 1-39

M. Abdellaoui and H. Redwane

McKean–Vlasov type stochastic differential equations arising from the random vortex method pp. 1-22

Zhongmin Qian and Yuhan Yao

Local minimality properties of circular motions in $$1/r^\alpha $$ 1 / r α potentials and of the figure-eight solution of the 3-body problem pp. 1-17

M. Fenucci

Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects pp. 1-57

Joël Merker

A posteriori verification of the positivity of solutions to elliptic boundary value problems pp. 1-25

Kazuaki Tanaka and Taisei Asai

Sobolev estimates for non-uniformly parabolic PDEs pp. 1-25

Steve Schochet

Existence and nonexistence of solutions to nonlocal elliptic problems pp. 1-32

Hamilton Bueno, Gilberto A. Pereira, Edcarlos D. Silva and Ricardo Ruviaro

Space-time analytic smoothing effect for the cubic nonlinear Schrödinger equations without pseudo-conformal invariance pp. 1-21

Gaku Hoshino

On refined blowup estimates for the exponential reaction-diffusion equation pp. 1-9

Philippe Souplet

Strichartz estimates for quadratic repulsive potentials pp. 1-12

Masaki Kawamoto and Taisuke Yoneyama