Gevrey Local Solvability for Semilinear Partial Differential Equations


Autoria(s): Oliaro, Alessandro
Data(s)

19/02/2014

19/02/2014

2003

Resumo

2002 Mathematics Subject Classification: 35S05

In this paper we deal with a class of semilinear anisotropic partial differential equations. The nonlinearity is allowed to be Gevrey of a certain order both in x and ∂au, with an additional condition when it is GScr in the (∂au)-variables for a critical index scr. For this class of equations we prove the local solvability in Gevrey classes.

The author is supported by NATO grant PST.CLG.979347

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 15, No 1, (2003), 93p-104p

0204-9805

http://hdl.handle.net/10525/2299

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Operators with Multiple Characteristics #Gevrey Classes #Local Solvability
Tipo

Article