Mapping properties of generalized Fourier transforms and applications to Kirchhoff equations

DOI10.1007/PL00001432zbMath1054.47513OpenAlexW2026841398MaRDI QIDQ1596322

Charlotte Heiming

Publication date: 2000

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001432

zbMATH Keywords

differentiabilitySchrödinger operatorKirchhoff equationsgeneralized Fourier transformperturbations of the Laplacian

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) General theory of partial differential operators (47F05) Linear operators on function spaces (general) (47B38) Harmonic analysis in several variables (42B99)

Related Items (4)

Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation ⋮ Necessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equations ⋮ On the Gevrey well-posedness of the Kirchhoff equation ⋮ Global solvability for the Kirchhoff equations in exterior domains of dimension three

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