Perturbation of domain for the linear parabolic equation
-
Carlos Arnoldo Morales
and
T. Nguyen
Abstract
In this paper, we will study the behavior of the solutions of the linear parabolic equation with Dirichlet conditions when the domain is perturbed in the
Funding source: National Research Foundation of Korea
Award Identifier / Grant number: 2022R1l1A3053628
Funding statement: Work partially supported by the Basic Science Research Program through the NRF funded by the Ministry of Education of the Republic of Korea (No. 2022R1l1A3053628).
Acknowledgements
We would like to thank the anonymous referee for the above recommendations. We also thank the members of the Dynamics Seminar at the Sejong Institute for Mathematical Sciences (SIMS) at Sejong, South Korea, where this work was discussed.
References
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Articles in the same Issue
- Frontmatter
- Open orbits and primitive zero ideals for solvable Lie algebras
- On the Pauli group on 2-qubits in dynamical systems with pseudofermions
- Electrostatic system with divergence-free Bach tensor and non-null cosmological constant
- Perturbation of domain for the linear parabolic equation
- K-theory of flag Bott manifolds
- Some results on Seshadri constants of vector bundles
- Strichartz inequality for orthonormal functions associated with special Hermite operator
- The globally smooth solutions and asymptotic behavior of the nonlinear wave equations in dimension one with multiple speeds
- On the regularity theory for mixed anisotropic and nonlocal p-Laplace equations and its applications to singular problems
- Boundedness of commutators of rough Hardy operators on grand variable Herz spaces
- Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets
- An alternative proof of Tataru’s dispersive estimates
- The p-Bohr radius for vector-valued holomorphic and pluriharmonic functions
- Concentrating solutions for singularly perturbed fractional (N/s)-Laplacian equations with nonlocal reaction
- Decay and Strichartz estimates for Klein–Gordon equation on a cone I: Spinless case
- A class of quaternionic Fourier orthonormal bases
- Maximal estimates for fractional Schrödinger equations in scaling critical magnetic fields
- Normalized solutions for scalar field equation involving multiple critical nonlinearities
