Article
MSC:
35B35,
35B45,
35B65,
35K45,
35K55,
73C50,
73D35,
74B20 | MR 1052739 | Zbl 0709.73013 | DOI: 10.21136/AM.1990.104402
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Keywords:
invariant region; vanishing viscosity; nonlinear parabolic system; quasilinear one- dimensional telegraph equation
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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