Abstract
In this paper, we study non–local in time evolution type equations generated by the Dunkl operator. Direct and inverse problems are investigated with the Caputo time-fractional heat equation with the parameter
Funding source: Ministry of Education and Science of the Republic of Kazakhstan
Award Identifier / Grant number: AP09259394
Funding statement: This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant no. AP09259394). The authors were also supported in parts by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate
- The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation
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- Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation
- On finding a penetrable obstacle using a single electromagnetic wave in the time domain
- Direct and inverse problems for time-fractional heat equation generated by Dunkl operator
- Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting
- Certain inverse uniqueness from the quotients of scattering coefficients
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Artikel in diesem Heft
- Frontmatter
- Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate
- The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation
- On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement II. The non-radial case
- Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation
- On finding a penetrable obstacle using a single electromagnetic wave in the time domain
- Direct and inverse problems for time-fractional heat equation generated by Dunkl operator
- Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting
- Certain inverse uniqueness from the quotients of scattering coefficients
- On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem
- Approximate Lipschitz stability for phaseless inverse scattering with background information
- The mean field games system: Carleman estimates, Lipschitz stability and uniqueness