Propagation of mild singularities in higher dimensional thermoelasticity

DOI10.1006/jmaa.1999.6594zbMath0952.74021OpenAlexW2095070714MaRDI QIDQ1969992

Ya-Guang Wang, Michael Reissig

Publication date: 20 June 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ad802445ef121c9f96f8db45d5a8af4c3b75c4da

zbMATH Keywords

Fourier analysiswave operatorslinear problemcoupled hyperbolic-parabolic systempropagation of singularitiesfully semilinear Cauchy problemhigher dimensional thermoelasticitymild singularities

Mathematics Subject Classification ID

Related Items (6)

Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo‐elasticity type ⋮ Large-time asymptotic behavior for the classical thermoelastic system ⋮ Microlocal analysis in nonlinear thermoelasticity ⋮ Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables ⋮ Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity ⋮ Remarks on propagation of singularities in thermoelasticity

Cites Work

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• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Propagation of singularities for non-linear wave equations in one dimension
• Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
• Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type
• Propagation of mild singularities for semilinear weakly hyperbolic equations

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