Abstract:
Linear and nonlinear inverse problems for the nonstationary multispeed anisotropic kinetic transport equation are studied. Sufficient conditions for the existence and uniqueness of weak solutions to these problems in various function spaces are found. The proofs of the corresponding theorems imply that solutions of the inverse problems under study can be obtained by applying the method of successive approximations.
Key words:inverse problem, nonstationary multispeed anisotropic kinetic transport equation, existence and uniqueness theorem, weak solution, method of successive approximations.
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