Inverse problems of parameter identification in partial differential equations
Inverse problems is a vibrant and expanding branch of mathematics that has found
numerous applications. In this work, we will survey some of the main techniques available in
the literature to solve the inverse problem of identifying variable parameters in partial
differential equations. Besides carefully defining the problem, we give simple examples to
depict some of the difficulties associated with the study of this inverse problem. We will
discuss in sufficient detail twelve different methods available to solve this particular class of …
numerous applications. In this work, we will survey some of the main techniques available in
the literature to solve the inverse problem of identifying variable parameters in partial
differential equations. Besides carefully defining the problem, we give simple examples to
depict some of the difficulties associated with the study of this inverse problem. We will
discuss in sufficient detail twelve different methods available to solve this particular class of …
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