Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations
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Alfredo Lorenzi
Abstract
Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain.
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: (S) 15H05740
Award Identifier / Grant number: (S) 26220702
Funding statement: The second author is a member of G.N.A.M.P.A. of the Italian Istituto Nazionale di Alta Matematica. The third author is partially supported by Grant-in-Aids for Scientific Research (S) 15H05740 and (S) 26220702 of Japan Society for the Promotion of Science.
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- A derivative-free iterative method for nonlinear ill-posed equations with monotone operators
- A conjugate direction method for linear systems in Banach spaces
- An energy gap functional: Cavity identification in linear elasticity
- On the simultaneous recovery of boundary heat transfer coefficient and initial heat status
- Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations
- Recovery of Lp-potential in the plane
- Improving epidemic size prediction through stable reconstruction of disease parameters by reduced iteratively regularized Gauss–Newton algorithm
- Convexification of restricted Dirichlet-to-Neumann map
Artikel in diesem Heft
- Frontmatter
- A derivative-free iterative method for nonlinear ill-posed equations with monotone operators
- A conjugate direction method for linear systems in Banach spaces
- An energy gap functional: Cavity identification in linear elasticity
- On the simultaneous recovery of boundary heat transfer coefficient and initial heat status
- Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations
- Recovery of Lp-potential in the plane
- Improving epidemic size prediction through stable reconstruction of disease parameters by reduced iteratively regularized Gauss–Newton algorithm
- Convexification of restricted Dirichlet-to-Neumann map
