Geodesic
Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity
Applications of Mathematics, Tome 35 (1990) no. 3, pp. 184-191

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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.
DOI : 10.21136/AM.1990.104402
Classification : 35B35, 35B45, 35B65, 35K45, 35K55, 73C50, 73D35, 74B20
Keywords: invariant region; vanishing viscosity; nonlinear parabolic system; quasilinear one- dimensional telegraph equation 
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     author = {Feireisl, Eduard},
     title = {Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity},
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Feireisl, Eduard. Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity. Applications of Mathematics, Tome 35 (1990) no. 3, pp. 184-191. doi: 10.21136/AM.1990.104402

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