Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations
DOI10.1515/jiip-2016-0066zbMath1374.35446arXiv1610.03398OpenAlexW2964128113MaRDI QIDQ2406550
Alfredo Lorenzi, Masahiro Yamamoto, Luca Lorenzi
Publication date: 5 October 2017
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03398
uniquenessill-posed problemscontinuous dependence resultsidentification problemslinear parabolic integro-differential equations
Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems for integral equations (45Q05)
Cites Work
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- A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain $\Omega \times {\mathcal {O}}$ of ${\mathbb {R}}^{M+N}$
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