Sovlabitilty of some dirichlet hyperbolic problems by energy inquality method
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Date
2021
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Journal ISSN
Volume Title
Publisher
Université de Larbi Ben M’hidi-Oum El Bouaghi
Abstract
In this work , we studied a boundary value problem for some linear and super-linear hyperbolic partial differential equations with Dirichlet boundary condition. Where, using the energy inequality method for proving the existence and uniqueness of the solutions to these problems.
Finally, we studied the finit time blow-up solution for a super-liner Dirichlet hyperbolic problem and the numerical simulation for it
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Keywords
Hyprbolic eqaution, Nonlinear partial differential equation, Existence, Uniqueness