Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation
From MaRDI portal
Publication:4719519
DOI10.1088/0951-7715/12/5/313zbMath0935.35147OpenAlexW1974814449MaRDI QIDQ4719519
Pavel I. Naumkin, Anne de Bouard, Nakao Hayashi, Jean Claude Saut
Publication date: 15 May 2000
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/12/5/313
existenceCauchy problemasymptotic behaviour in timemodified scattering stateshigh-power, ultra-short laserusual scattering states
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) PDEs in connection with relativity and gravitational theory (35Q75)
Related Items
ON THE LOCAL WELL-POSEDNESS OF QUASILINEAR SCHRÖDINGER EQUATIONS IN ARBITRARY SPACE DIMENSION, Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential, Ground state for relativistic nonlinear Schrödinger equations involving general nonlinear term, Positive solutions for a relativistic nonlinear Schrödinger equation with square-root nonlinearity, An inverse function theorem in Sobolev spaces and applications to quasi-linear Schrödinger equations, Quasilinear equations involving critical exponent and concave nonlinearity at the origin, Multiplicity and regularity results for a class of quasilinear Schrödinger equations involving a nonlinearity concave at the origin, Local well-posedness for the quasi-linear Hamiltonian Schrödinger equation on tori, A class of modified nonlinear fourth-order elliptic equations with unbounded potential
