The Cauchy problem for a system of quasilinear parabolic equations of chemical kinetics type
โ Scribed by S. N. Kruzhkov; A. N. Peregudov
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 973 KB
- Volume
- 69
- Category
- Article
- ISSN
- 1573-8795
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๐ SIMILAR VOLUMES
sufficient conditions are found for global unsolvability of the Cauchy problem for parabolic equations of the non-linear heat conduction type with a source. In the case of equations of a special kind, the class of initial functions is isolated, with which the Cauchy problem is globally solvable.
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