333 citations
- University of LiverpoolGB7 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- The Ohio State UniversityUS3 papers
- Umeå UniversitySE3 papers
- University of RostockDE3 papers
- Institut d'Astrophysique de ParisFR2 papers
- Max Planck Institute for the Physics of Complex SystemsDE2 papers
- Queen Mary University of LondonGB2 papers
- University of SaskatchewanCA2 papers
- Arak UniversityIR1 paper
- CEA Paris-SaclayFR1 paper
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1 paper
Showing 2009 · math.APShow all
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math.AP2009
The Dirichlet Problem for Non-divergence Parabolic Equations with Discontinuous in Time Coefficients
V. A. Kozlov, A. I. Nazarov
We establish pointwise estimates for the Green function to the Dirichlet problem for parabolic equation with coefficients measurable in time variable. Using these estimate we obtai…
math.AP2009
Asymptotic treatment of perforated domains without homogenization
V. Maz'ya, A. Movchan
As a main result of the paper, we construct and justify an asymptotic approximation of Green's function in a domain with many small inclusions. Periodicity of the array of inclusio…
math.AP2009
Pointwise estimates for the polyharmonic Green function in general domains
Svitlana Mayboroda, Vladimir Maz'ya
In the present paper we establish sharp pointwise estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.