Rapidly decreasing behaviour of solutions in nonlinear 3-D-thermoelasticity
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Publication:3493549
DOI10.1017/S000497270002880XzbMath0709.73006MaRDI QIDQ3493549
Publication date: 1990
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
weighted Sobolev spacesinitial value problemglobal existence in timelocal existence in timeestimates on the space and time derivativesnonlinear system in three-dimensional thermoelasticity
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15)
Cites Work
- Numerical solution for the Cauchy problem in nonlinear 1-D- thermoelasticity
- On the Cauchy problem in nonlinear 3-D-thermoelasticity
- Theory of function spaces
- Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
- Weighted Sobolev spaces and rapidly decreasing solutions of some nonlinear dispersive wave equations
- On some quasilinear hyperbolic-parabolic initial boundary value problems
- Far field behavior of solutions to the equations of nonlinear 1-D-Thermoelasticity
- Spaces of Distributions with Weights. Multipliers inLp-spaces with Weights
- ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
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