The heat equation source determination for the case of non-smooth boundary and initial conditions
[摘要] An inverse problem of reconstructing the source of a special kind for parabolic equations in a bounded region with smooth boundary is considered. Solutions are sought in the Holder classes. We prove an uniqueness criterion for the solution and sufficient conditions of Fredholm property of the task at hand. As a consequence of the sufficient conditions for existence and uniqueness of solution of the inhomogeneous inverse problems are found.
[发布日期] [发布机构] National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe shosse, Moscow; 115409, Russia^1
[效力级别] 数学 [学科分类]
[关键词] Existence and uniqueness of solution;Fredholm;Heat equation;Parabolic Equations;Smooth boundary;Source determinations [时效性]
