Stability of solutions for an abstract Dirichlet problem

• Autorzy: Marek Galewski
• Języki publikacji: EN

Abstrakty

EN

We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.

Kategorie tematyczne

• 35A15: Variational methods
• 47J05: Equations involving nonlinear operators (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 3
• Strony: 273-280

Daty

wydano

2004

Twórcy

autor

Marek Galewski

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/ap83-3-9