Cauchy problem for a linear hyperbolic equation of the second order
Abstract
The definition of hyperbolic equation by a prescribed vector field is introduced for linear differential equation of the second order. The Cauchy problem with prescribed boundary conditions is considered for such equations. The theorems of existence and uniqueness of a strong solution to the given problem are proved by the method of energy inequalities and mollifiers with variable step.
First Published Online: 14 Oct 2010
Keywords:
hyperbolic equation, Cauchy problem, strong solution, energy inequality, mollifiersHow to Cite
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Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Copyright
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.