On solutions of some doubly nonlinear degenerate parabolic equations with absorption
✍ Scribed by Masayoshi Tsutsumi
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 911 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, We prove that, for non-negative compactly supported initial data, the strict localization occurs if and only if q m(p-1).
We consider the Cauchy problems for some nonlinear degenerate parabolic equations in ޒ N for nonzero bounded nonnegative initial data having compact support, and show that the set of peaks of the nonnegative solution consists of one point after a finite time.
Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.