Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms
By Nicolai V. Krylov. 2007
125 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/54130d5d4aedfc2c1f9906fee683861602aded48
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights (2016, background): “In [41] Krylov proved mixed-norm estimates for second order parabolic equations in R with the same class of coefficients in Section 5.”
- On Function Spaces with Mixed Norms — A Survey (2019, background): “For more progresses about the applications of function spaces with mixed norms in partial differential equations, we refer the reader to [16, 54, 55, 62].”
- Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains (2011, methodology): “1 in [28] and take into account the presence of λ.”
- Elliptic equations with measurable coefficients in Reifenberg domains (2010, result): “In what concerns divergence and non-divergence form elliptic and parabolic operators whose coefficients are measurable in one variable and VMO with respect to the others, we would like to mention a series of recent works [11,12,17–19] where D.”
- L-estimates for time fractional parabolic equations with coefficients measurable in time (2018, background): “2), it is possible to consider more general classes of coefficients than those in [7, 8, 4].”