A Class of Degenerate Totally Nonlinear Parabolic Equations
β Scribed by Chin-Yuan Lin; Li-Chang Fan
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 181 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Of concern is the following totally nonlinear parabolic equation, as well as its higher space dimensional analogue
π SIMILAR VOLUMES
## Abstract In this paper, we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations: equation image and equation image Here, Ξ© is a CarnotβCarathΓ©odory metric ball in **R**^__N__^ and __V__ β __L__ ^1^~loc~(Ξ©). The critica
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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).
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.