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Local Energy Estimates for Wave Equations with Degenerate Trapping

2019
Local energy estimates are a robust measure for quantifying the energy decay for wave equations, and they have become a fundamental tool in the study of wave equations on asymptotically flat spacetimes. We seek to obtain a localized energy estimate for wave equations in the presence of degenerate trapping, by studying a warped product manifold whose ...
openaire   +1 more source

Sharp energy decay estimates for the wave equation with a local degenerate dissipation

Computers and Mathematics With Applications, 2009
Il Hyo Jung
exaly  

Asymptotics toward the rarefaction wave of the solutions of burgers' equation with nonlinear degenerate viscosity

Nonlinear Analysis: Theory, Methods & Applications, 1994
Akitaka Matsumura
exaly  

Carleman Estimates and Controllability for Degenerate Wave Equations

Applied Mathematics & Optimization
Guang Zhang, Shugen Chai
openaire   +1 more source

Interior controllability of semi-linear degenerate wave equations

Journal of Mathematical Analysis and Applications, 2018
Hang Gao, Muming Zhang
exaly  

Stabilization of weakly coupled degenerate wave equations

Applicable Analysis
Jinyan Bai, Shugen Chai
openaire   +1 more source

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