The sharp lifespan for quasilinear wave equations in exterior domains with polynomial local energy decay Public Deposited
Downloadable ContentDownload PDF
- Last Modified
- March 20, 2019
Helms, John Albert
- Affiliation: College of Arts and Sciences, Department of Mathematics
- We investigate the lifespan of quasilinear Dirichlet-wave equations of the form (lower case delta squared subscript t - Delta) u = Q(u,u prime,u prime prime) in [0,T] times R superscript3 backslash K, where K is a bounded domain with smooth boundary. Previous results have demonstrated long time existence in the case that K was assumed to be star-shaped. We show that the same lifespan holds for more general geometries, where we only assume a polynomial local decay of energy with a possible loss of regularity for solutions to the linear homogeneous wave equation.
- Date of publication
- May 2012
- Resource type
- Rights statement
- In Copyright
- ... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics.
- Metcalfe, Jason
This work has no parents.
|The sharp lifespan for quasilinear wave equations in exterior domains with polynomial local energy decay||2019-04-09||Public||