Solutions to some nonlinear PDE's in the form of Laplace type integrals

• Autorzy: Maria E. Pliś
• Języki publikacji: EN

Abstrakty

EN

A nonlinear equation $P(D)u = αu^{m}$ in 2 variables is considered. A formal solution as a series of Laplace integrals is constructed. It is shown that assuming some properties of Char P, one gets the Gevrey class of such solutions. In some cases convergence "at infinity" is proved.

Kategorie tematyczne

• 35C15: Integral representations of solutions
• 44A10: Laplace transform
• 46F12: Integral transforms in distribution spaces
• 35C10: Series solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 1
• Strony: 45-62

Daty

wydano

2002

Twórcy

autor

Maria E. Pliś

• Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Identyfikatory

DOI

10.4064/ap79-1-4