The cauchy problem for a quasilinear degenerate parabolic system
โ Scribed by Hongjun Yuan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 459 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โ [0, __T__ ] ร โ^__n__^ and presenting a linear growth for |__x__ | โ โ. We prove wellโposedness in the Schwartz space __๐ฎ__ (โ^__n__^ ). The result is obtained by d
The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: ลฝ . ลฝ . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect