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Inversion formulas for the reznitskaya transform and stability of lipschitz type in determination of initial heat distribution |
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| Authors: | MD Asaduzzaman Saburou Saitoh |
| Institution: | Department of Mathematics , Faculty of Engineering Gunma University , Kiryu, 376–8515, Japan |
| Abstract: | In the Reznitskaya transform combining the solutions of some general linear partial differential equations of hyperbolic type and parabolic type, isometrical identities and inversion formulas are established. Furthermore, stability of Lipschitz type in the determination of initial heat distribution is given as an application. |
| Keywords: | Reznitskaya transform pde Bergman—Selberg space reproducing kernel integral transform stability of Lipschitz type observability inequality inverse problem |