Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
Applicationes Mathematicae (2008)
- Volume: 35, Issue: 3, page 281-304
- ISSN: 1233-7234
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topLorena Bociu, and Irena Lasiecka. "Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping." Applicationes Mathematicae 35.3 (2008): 281-304. <http://eudml.org/doc/279900>.
@article{LorenaBociu2008,
abstract = {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.},
author = {Lorena Bociu, Irena Lasiecka},
journal = {Applicationes Mathematicae},
keywords = {wave equation; nonlinear interior and boundary damping; interior and boundary supercritical sources; blow-up; nonexistence},
language = {eng},
number = {3},
pages = {281-304},
title = {Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping},
url = {http://eudml.org/doc/279900},
volume = {35},
year = {2008},
}
TY - JOUR
AU - Lorena Bociu
AU - Irena Lasiecka
TI - Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 3
SP - 281
EP - 304
AB - 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.
LA - eng
KW - wave equation; nonlinear interior and boundary damping; interior and boundary supercritical sources; blow-up; nonexistence
UR - http://eudml.org/doc/279900
ER -
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