Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping

• Autorzy: Lorena Bociu , Irena Lasiecka
• Języki publikacji: EN

Abstrakty

EN

We focus on the blow-up in finite time of weak solutions to the wave equation with interior and boundary nonlinear sources and dissipations. Our central interest is the relationship of the sources and damping terms to the behavior of solutions. We prove that under specific conditions relating the sources and the dissipations (namely p > m and k > m), weak solutions blow up in finite time.

Kategorie tematyczne

• 35L05: Wave equation
• 35B35: Stability
• 35B33: Critical exponents
• 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: 3
• Strony: 281-304

Daty

wydano

2008

Twórcy

autor

Lorena Bociu

• 243 Avery Hall, University of Nebraska-Lincoln, Lincoln, NE 68588, U.S.A.

autor

Irena Lasiecka

• Department of Mathematics, University of Virginia, Charlottesville, VA 22904, U.S.A.

Identyfikatory

DOI

10.4064/am35-3-3