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Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains
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Jason Metcalfe
Published/Copyright:
July 27, 2005
Abstract
In this paper we prove global existence for certain multispeed Dirichlet-wave equations with quadratic nonlinearities outside of obstacles. We assume the natural null condition for systems of quasilinear wave equations with multiple speeds. The null condition only puts restrictions on the self-interactions of each wave family. We use the method of commuting vector fields and weighted space-time L2 estimates.
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Published Online: 2005-07-27
Published in Print: 2005-01-01
© de Gruyter
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Articles in the same Issue
- On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups II
- Approximating L2-Signatures by Their Compact Analogues
- Preservation of Perfectness and Acyclicity: Berrick and Casacuberta's Universal Acyclic Space Localized at a Set of Primes
- On Certain Functional and Partial Differential Equations
- Spectral Asymptotics of Generalized Measure Geometric Laplacians on Cantor Like Sets
- Hessian of the Zeta Function for the Laplacian on Forms
- Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains
