Fourier transforms and \(L^2\)-stability of diffusion equations
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Publication:2114431
DOI10.1016/j.cam.2022.114181zbMath1485.35039OpenAlexW4212880914MaRDI QIDQ2114431
Hoewoon B. Kim, Dong Seung Kang
Publication date: 15 March 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114181
Stability in context of PDEs (35B35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for second-order parabolic equations (35K15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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Cites Work
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- On the generalized Hyers--Ulam--Rassias stability in Banach modules over a \(C^{*}\)-algebra
- Hyers-Ulam stability of a first order partial differential equation
- On stability of additive mappings
- Variational problem of some quadratic functionals in complex analysis
- On some inequalities and stability results related to the exponential function
- A characterization of Hyers-Ulam stability of first order linear differential operators.
- On the stability of functional equations in Banach spaces
- Stability of the diffusion equation with a source
- The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
- On the stability of heat equation
- Generalized Hyers-Ulam stability of diffusion equation in the \(n\)-dimensional Euclidean space, \( \mathbb{R}^n\)
- On the stability of the heat equation with an initial condition
- On the Hyers-Ulam stability of linear mappings
- On the stability of the linear transformation in Banach spaces
- Hyers-Ulam stability of first order linear partial differential equations with constant coefficients
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of linear differential operator with constant coefficients
- Fourier Transforms and Ulam Stabilities of Linear Differential Equations
- On the Stability of the Linear Functional Equation
- On the stability of the quadratic mapping in normed spaces
