Neumann problem for the nonlinear Klein-Gordon equation

DOI10.1016/j.na.2016.10.014zbMath1355.35141OpenAlexW2546575016MaRDI QIDQ346603

I. P. Naumkin

Publication date: 29 November 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.10.014

zbMATH Keywords

cubic nonlinearityscattering-critical

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71)

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Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane ⋮ Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data ⋮ Multidimensional inhomogeneous mixed initial-boundary value problem for the nonlinear Schrödinger equation ⋮ Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane ⋮ Modified scattering for the mixed initial-boundary problem for the nonlinear Klein–Gordon equation ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ Infinitely many solutions and least energy solutions for Klein–Gordon equation coupled with Born–Infeld theory

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