On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation

DOI10.1134/S0001434615110061zbMath1335.35299MaRDI QIDQ268078

Vitaly L. Kamynin

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

maximum principledegenerate parabolic equationstability of solutionsintegral observationperturbation of the input datasolvability of the inverse problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30)

Related Items

Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class \(L_{\infty}\), Inverse source problem for parabolic equation with the condition of integral observation in time, Asymptotic behavior of solutions of inverse problems for degenerate parabolic equations, Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients, On the stabilization to zero of the solutions of the inverse problem for a degenerate parabolic equation with two independent variables, Direct and inverse source problems for degenerate parabolic equations, On inverse problems for strongly degenerate parabolic equations under the integral observation condition, Inverse problems of finding the lower term in a multidimensional degenerate parabolic equation, Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class of \(L_2\)-functions, Unique solvability of direct and inverse problems for degenerate parabolic equations in the multidimensional case, The inverse problem of recovering the source function in a multidimensional nonuniformly parabolic equation, Inverse Problems of Determination of the Right-Hand Side Term in the Degenerate Higher-Order Parabolic Equation on a Plane

Cites Work

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• An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation
• An inverse problem for a higher order parabolic equation
• Inverse problems for linear degenerate parabolic equations by ``time-like Carleman estimate
• Identifying the volatility of underlying assets from option prices
• Determination of source terms in a degenerate parabolic equation
• An inverse problem of identifying the source coefficient in a degenerate heat equation
• Determination of a parameter p(t) in some quasi-linear parabolic differential equations
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets
• A new well-posed algorithm to recover implied local volatility
• Slow divergence integrals in generalized Liénard equations near centers
• An inverse problem for strongly degenerate heat equation