W-methods for semilinear parabolic equations
✍ Scribed by Felix Schwitzer
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 719 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0168-9274
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The semilinear equation u\* +L 0 u=u : , where L 0 is a second-order elliptic differential operator without zero-order term and 1<: 2, has been studied by the author in [4] and [5] by using superdiffusions. In the present paper, we apply superdiffusions to a more general equation u\* +Lu= (u), where
Existence theorems for the nonlinear parabolic differential equation yѨ urѨ t q < < p Ž . n w . ⌬uq u qf x, t s 0 in ޒ = 0, ϱ with zero initial value are established given Ž . explicit conditions on the nonhomogeneous term f x, t . An existence theorem is also demonstrated for the corresponding e