Long-range instability of linear evolution PDE on semi-bounded domains via the Fokas method

DOI10.4310/DPDE.2024.V21.N2.A1zbMATH Open1541.35042MaRDI QIDQ6544135

Loukas Grafakos, Spyridon Kamvissis, Author name not available (Why is that?)

Publication date: 27 May 2024

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

classical solutionlong-range instabilitylong-space asymptotics and conditional decayunified transform method (UTM)

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Other transforms and operators of Fourier type (43A32) Solutions to PDEs in closed form (35C05) Linear higher-order PDEs (35G05) Fourier integral operators applied to PDEs (35S30) Other special methods applied to PDEs (35A25) Initial-boundary value problems for linear higher-order PDEs (35G16) Classical solutions to PDEs (35A09)

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New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane

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