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Abstract / Description of output
We establish Lp, 2≤p≤∞ solvability of the Dirichlet boundary value problem for a parabolic equation ut−div(A∇u)=0 on time-varying domains with coefficient matrix A=(aij) that satisfy a small Carleson condition. The result is motivated by similar results for the elliptic equation div(A∇u)=0 that were established previously.
Original language | English |
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Pages (from-to) | 767-810 |
Number of pages | 30 |
Journal | Revista Matemática Iberoamericana |
Volume | 34 |
Issue number | 2 |
Early online date | 28 May 2018 |
DOIs | |
Publication status | Published - 2018 |
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Dive into the research topics of 'The Dirichlet boundary problem for second order parabolic operators satisfying Carleson condition'. Together they form a unique fingerprint.Projects
- 1 Finished
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Solvability of elliptic partial differential equations with rough coefficients; the boundary value problems
12/09/12 → 11/09/15
Project: Research
Profiles
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Martin Dindos
- School of Mathematics - Personal Chair of harmonic analysis and partial differential
Person: Academic: Research Active