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Feireisl, Eduard
Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 184-191
MSC: 35B35, 35B45, 35B65, 35K45, 35K55, 73C50, 73D35, 74B20 | MR 1052739 | Zbl 0709.73013 | DOI: 10.21136/AM.1990.104402
Keywords:
invariant region; vanishing viscosity; nonlinear parabolic system; quasilinear one- dimensional telegraph equation
Summary:
A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of $L \infty$ - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.
References:
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