On uniqueness in inverse problems for semilinear parabolic equations
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Publication:1309703
DOI10.1007/BF00392201zbMath0804.35150MaRDI QIDQ1309703
Publication date: 4 January 1994
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- Completeness of products of solutions and some inverse problems for PDE
- Inverse parabolic problems with the final overdetermination
- Uniqueness for inverse parabolic problems with a lateral overdetermination
- A uniqueness theorem for a class of nonlinear parabolic inverse problems
- An Inverse problem for a nonlinear parabolic equation
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