Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions

DOI10.1002/mma.8618zbMath1529.35003OpenAlexW4291002906MaRDI QIDQ6141995

Marina Murillo-Arcila

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8618

zbMATH Keywords

Fourier multipliersDirichlet Laplacian\(C^\alpha\)-well posednessfourth-order Moore-Gibson-Thompson equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Multipliers in one variable harmonic analysis (42A45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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