## Abstract We consider a semilinear elliptic operator __P__ on a manifold __B__ with a conical singular point. We assume __P__ is Fuchs type in the linear part and has a nonβlinear lower order therms. Using the Schauder fixed point theorem, we prove the local solvability of __P__ near the conical
β¦ LIBER β¦
Local solvability for semilinear equations with multiple characteristics
β Scribed by G. Garello
- Book ID
- 112903921
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- German
- Weight
- 516 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0430-3202
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## Abstract The Cauchy problem for the abstract semilinear evolution equation __u__^β²^(__t__) = __Au__ (__t__) + __B__ (__u__ (__t__)) + __C__ (__u__ (__t__)) is discussed in a general Banach space __X__. Here __A__ is the soβcalled HilleβYosida operator in __X__, __B__ is a differentiable operator