The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions
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Publication:2108205
DOI10.1186/s13661-019-1126-zOpenAlexW2947262499WikidataQ128577153 ScholiaQ128577153MaRDI QIDQ2108205
Publication date: 19 December 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-019-1126-z
Inverse problems for PDEs (35R30) Second-order parabolic equations (35K10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)
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Cites Work
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- Solvability of some inverse problems for the nonstationary heat-and-mass-transfer system
- Mixed Morrey spaces and their applications to partial differential equations
- Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients
- On a class of forward-backward parabolic equations: existence of solutions
- A nonlinear parabolic equation with drift term
- Parabolic equations with unknown time-dependent coefficients
- Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator-prey model with Allee effect and Holling type-III functional response
- On the asymptotic behavior of solutions of inverse problems for parabolic equations
- Elements of the theory of inverse problems
- Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions
- Inverse and ill-posed problems. Theory and applications.
- The inverse problem of the simultaneous determination of the right-hand side and the lowest coefficient in parabolic equations with many space variables
- The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
- Inverse parabolic problems with the final overdetermination
- Direct and inverse problems for the heat equation with a dynamic-type boundary condition
- Determination of a control parameter in a parabolic partial differential equation
- Small-gain theorem for a class of abstract parabolic systems
- Quasilinear parabolic problem with variable exponent: Qualitative analysis and stabilization
- Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions
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