Fourth order Schrödinger equation with mixed dispersion on certain Cartan-Hadamard manifolds
DOI10.1007/s10884-022-10197-4zbMATH Open1548.3523MaRDI QIDQ6612550
Ilkka Holopainen, Jean-Baptiste Castéras
Publication date: 1 October 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
scatteringhyperbolic spaceStrichartz estimatenonlinear fourth-order Schrödinger equationdispersive inequality
Scattering theory for PDEs (35P25) Harmonic analysis on homogeneous spaces (43A85) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Harmonic analysis and spherical functions (43A90) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Higher-order elliptic equations (35J30) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)
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