Tomas Barta
Abstract:
In this article we prove convergence to equilibrium and decay estimates
for a class of damped abstract wave equations. We focus on the damping
term to be as general as possible, including functions that oscillate
between two positive functions in a neighborhood of the origin and/or
behave differently in each direction.
Submitted March 13, 2016. Published December 28, 2016.
Math Subject Classifications: 35L90, 35L10, 37L15.
Key Words: Abstract wave equation; convergence to equilibrium;
decay estimates; Lojasiewicz inequality.
Show me the PDF file (280 KB), TEX file for this article.
Tomas Barta Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University in Prague Sokolovska 83, 18675 Praha 8, Czech Republic email: Tomas.Barta@mff.cuni.cz |
Return to the EJDE web page