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L2 Solvability of t...
L2 Solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with time-independent Hölder-continuous coefficients
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- Castro, Alejandro, J. (författare)
- Uppsala universitet,Analys och sannolikhetsteori
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Rodríguez-López, Salvador (författare)
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Staubach, Wolfgang (författare)
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(creator_code:org_t)
- American Mathematical Society (AMS), 2024
- 2024
- Engelska.
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Ingår i: Transactions of the American Mathematical Society. - : American Mathematical Society (AMS). - 0002-9947 .- 1088-6850.
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- We establish the $L^2$-solvability of Dirichlet, Neumann and regularity problems for divergence-form heat (or diffusion) equations with time-independent H\"older-continuous diffusion coefficients, on bounded Lipschitz domains in $\mathbb{R}^n$. This is achieved through the demonstration of invertibility of the relevant layer-potentials which is in turn based on Fredholm theory and a systematic transference scheme which yields suitable parabolic Rellich-type estimates.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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