Solvability for semilinear PDE with multiple characteristics

• Autorzy: Alessandro Oliaro , Luigi Rodino
• Języki publikacji: EN

Abstrakty

EN

We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in $G^{σ}$, 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class $G^{σ}$ with respect to all variables.

Kategorie tematyczne

• 35S05: Pseudodifferential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 60
• Numer: 1
• Strony: 295-303

Daty

wydano

2003

Twórcy

autor

Alessandro Oliaro

• Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

autor

Luigi Rodino

• Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

Identyfikatory

DOI

10.4064/bc60-0-23