The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation

DOI10.5802/crmath.231zbMath1473.35084arXiv2004.11167OpenAlexW3201246574MaRDI QIDQ822317

Francesca Bucci, Matthias M. Eller

Publication date: 22 September 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11167

zbMATH Keywords

characteristic spatial boundarynon-homogeneous boundary data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09)

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Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I, Formation of singularities of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations, Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon, Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation with arbitrarily large higher-order Sobolev norms, The SMGT equation from the boundary: regularity and stabilization, Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation, Blow-up and lifespan estimates of solutions to semilinear Moore-Gibson-Thompson equations, Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity, Riccati-based solution to the optimal control of linear evolution equations with finite memory, Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions., A general stability result for a viscoelastic Moore-Gibson-Thompson equation in the whole space, Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics, A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case, From low to high-and lower-optimal regularity of the SMGTJ equation with Dirichlet and Neumann boundary control, and with point control, via explicit representation formulae, Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary

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