Nonlinear L k l operator related to the Bessel-Helmholtz operator and the Bessel Klein-Gordon operator
In this article, we study the solution of the nonlinear equation where L kl is defined by and (Δ B + a 2) k and (□ B + b 2) l are de...
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84865103624&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51790 |
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| Institution: | Chiang Mai University |
| Summary: | In this article, we study the solution of the nonlinear equation where L kl is defined by and (Δ B + a 2) k and (□ B + b 2) l are defined by (2) and (3) respectively. u is an unknown generalized function and f is a given generalized function. It is found that the existence of the solution u(x) of such an equation depends on the condition of f and L k-1lu(x). Moreover such a solution u(x) is related to the fundamental solution of Bessel-Helmholtz Operator and the Bessel Klein-Gordon Operator. |
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