On asymptotic behavior of a solution to the cauchy problem for quasilinear parabolic equations
โ Scribed by V. L. Kamynin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 714 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0037-4466
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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
We show that the solutions of the initial value problems for a large class of Burgers type equations approach with time to the sum of appropriately shifted wave-trains and of diffusion waves.