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.
Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations
β Scribed by Espen R. Jakobsen; Kenneth H. Karlsen
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 257 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
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The existence, uniqueness, and L Ο± estimate of the weak solution to the initial boundary value problem for the doubly nonlinear parabolic equation Ε½ . t with zero boundary condition in a bounded domain β ; R N are established. In particular, the behavior of the solution as t Βͺ 0 q and t Βͺ qΟ± is in