Nonhomogeneous boundary value problem for a semilinear hyperbolic equation

• Autorzy: Andrzej Nowakowski
• Języki publikacji: EN

Abstrakty

EN

We discuss the solvability of a nonhomogeneous boundary value problem for the semilinear equation of the vibrating string $x_{tt}(t,y) - Δx(t,y) + f(t,y,x(t,y)) = 0$ in a bounded domain and with a certain type of superlinear nonlinearity. To this end we derive a new dual variational method.

Kategorie tematyczne

• 35A15: Variational methods
• 35L05: Wave equation
• 35L20: Initial-boundary value problems for second-order hyperbolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 1
• Strony: 81-95

Daty

wydano

2008

Twórcy

autor

Andrzej Nowakowski

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

Identyfikatory

DOI

10.4064/am35-1-5