Lectures on elliptic and parabolic equations in Sobolev spaces /
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| Author / Creator: | Krylov, N. V. (Nikolaĭ Vladimirovich) |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c2008. |
| Description: | xviii, 357 p. ; 27 cm. |
| Language: | English |
| Series: | Graduate studies in mathematics, 1065-7339 ; v. 96 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7359850 |
Table of Contents:
- Second-order elliptic equations in $W^{{2}}_{{2}}(\mathbb{{R}}^{{d}})$
- Second-order parabolic equations in $W^{{1,k}}_{{2}}(\mathbb{{R}}^{{d+1}})$
- Some tools from real analysis Basic $\mathcal{{L}}_{{p}}$-estimates for parabolic and elliptic equations
- Parabolic and elliptic equations in $W^{{1,k}}_{{p}}$ and $W^{{k}}_{{p}}$
- Equations with VMO coefficients Parabolic equations with VMO coefficients in spaces with mixed norms
- Second-order elliptic equations in $W^{{2}}_{{p}}(\Omega)$
- Second-order elliptic equations in $W^{{k}}_{{p}}(\Omega)$
- Sobolev embedding theorems for $W^{{k}}_{{p}}(\Omega)$
- Second-order elliptic equations $Lu-\lambda u=f$ with $\lambda$ small
- Fourier transform and elliptic operators
- Elliptic operators and the spaces $H^{{\gamma}}_{{p}}$
- Bibliography
- Index