Abstract
S.Klainerman, in [1] proved that for suficiently small nonlinear perturbations of linear dissipative equations and systems like: the wave equation, heat equation, linear isotropic elasticity equations etc., the corresponding solution of the initial-value problem for perturbed equations and system behave asymptotically like the solutions of the initial-value problem for linear unperturbed equations and system.
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References
S. Klainerman, Long-time behaviour of solutions to nonlinear evolution equations. Arch.Rat. Mech. Anal. 78, 73–98, 1982.
Z. Domański, A. Piskorek, Matrices of fundamental solutions for the system of quasistatic equations of thermoelasticity and the system of dynamic equations of thermal stresses. Arch. of Mechanics, 23, 265–270, 1971.
E.E. Levy, Uspekh.Matem.Nauk, 18, 1940.
A. Piskorek, Radon-Transformation und hyperbolische differentialgleichurigen der mathematischen Physik. Methoden und Verfahren der Mathematischen Physik, Mannheim, Wien, Zürich, 1973.
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© 1988 Plenum Press, New York
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Duc, H.D., Gawinecki, J., Piskorek, A. (1988). On Thermoelastic Potential. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0981-9_16
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DOI: https://doi.org/10.1007/978-1-4613-0981-9_16
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