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Physical Sciences and Engineering Mathematics Analysis

The Cauchy–Dirichlet problem for a class of hyperbolic operators with double characteristics in the presence of transition

Article ID Journal Published Year Pages File Type
4613959 Journal of Mathematical Analysis and Applications 2016 22 Pages PDF
Abstract

The paper deals with the study of the Cauchy–Dirichlet problem for the class of hyperbolic second order operators with double characteristics in the presence of transition P=Dx02−Dx12−(x0+λ−α(x1))2Dx22. Energy estimates and existence and uniqueness results are established.

Keywords
Pseudodifferential operatorsSobolev spacesHyperbolic equations
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
The Cauchy–Dirichlet problem for a class of hyperbolic operators with double characteristics in the presence of transition
Authors
Annamaria Barbagallo, Vincenzo Esposito,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Pseudodifferential operators
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Hyperbolic equations
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