𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local solvability of semilinear partial differential equations

✍ Scribed by T. Gramchev; P. Popivanov

Book ID
112903886
Publisher
Springer-Verlag
Year
1989
Tongue
German
Weight
243 KB
Volume
35
Category
Article
ISSN
0430-3202

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Global solvability for semilinear anisot
Global solvability for semilinear anisotropic evolution partial differential equations
✍ Paola Marcolongo; Alessandro Oliaro πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 212 KB

In this paper we consider the Cauchy problem for a class of semilinear anisotropic evolution equations with parabolic linear part. Using standard techniques we reduce our problem in an integral form. Thus a local \(L^{2}\) solution is given as fixed point of the correspondent integral operator, defi

Local solvability for nonlinear partial
Local solvability for nonlinear partial differential equations
✍ F. Messina; L. Rodino πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 444 KB

In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semilinear operator \(F(u)=P(D) u+f\left(x, Q_{1

Local solvability for semilinear Fuchsia
Local solvability for semilinear Fuchsian equations
✍ Francesca Messina πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 248 KB

## 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 non–linear lower order therms. Using the Schauder fixed point theorem, we prove the local solvability of __P__ near the conical