Distribution Solution of Some Nonlinear PDEs Related to the Elastic Bessel Klein-Gordon Wave Operator

Authors

  • Chalermpon Bunpog Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200

DOI:

https://doi.org/10.26713/cma.v10i1.1123

Keywords:

Generalized function, Tempered distribution, Elastic wave equation, Nonlinear partial differential equation

Abstract

This paper studies the existence and uniqueness of the solution to the boundary value problem for the nonlinear partial differential equation. We are particularly interested in the elastic Bessel-Helmholtz and elastic Bessel Klein-Gordon wave operators. To attain the results, the distribution theory (the generalized function theory), the iteration method and the classical Schauder estimates are applied. The solution is consequently in the form of tempered distribution (slow growth function).

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References

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Published

31-03-2019
CITATION

How to Cite

Bunpog, C. (2019). Distribution Solution of Some Nonlinear PDEs Related to the Elastic Bessel Klein-Gordon Wave Operator. Communications in Mathematics and Applications, 10(1), 37–44. https://doi.org/10.26713/cma.v10i1.1123

Issue

Vol. 10 No. 1 (2019)

Section

Research Article

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