Cauchy problem for a linear hyperbolic equation of the second order

    V. I. Korzyuk Info
    E.S. Cheb Info
DOI: https://doi.org/10.3846/13926292.2006.9637318

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, mollifiers

How to Cite

Korzyuk, V. I., & Cheb, E. (2006). Cauchy problem for a linear hyperbolic equation of the second order. Mathematical Modelling and Analysis, 11(3), 275-294. https://doi.org/10.3846/13926292.2006.9637318

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September 30, 2006
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Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2006-09-30

Issue

Vol 11 No 3 (2006)

Section

Articles

Copyright

Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Korzyuk, V. I., & Cheb, E. (2006). Cauchy problem for a linear hyperbolic equation of the second order. Mathematical Modelling and Analysis, 11(3), 275-294. https://doi.org/10.3846/13926292.2006.9637318

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