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Lectures on Elliptic and Parabolic Equations in Hölder Spaces
About this Title
N. V. Krylov
Publication: Graduate Studies in Mathematics
Publication Year:
1996; Volume 12
ISBNs: 978-0-8218-0569-5 (print); 978-1-4704-2070-3 (online)
DOI: https://doi.org/10.1090/gsm/012
MathSciNet review: MR1406091
MSC: Primary 35-01; Secondary 35Jxx, 35Kxx
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Elliptic equations with constant coefficients in $\mathbb {R}^d$
- Chapter 2. Laplace’s equation
- Chapter 3. Solvability of elliptic equations with constant coefficients in the Hölder spaces
- Chapter 4. Elliptic equations with variable coefficients in $\mathbb {R}^d$
- Chapter 5. Second-order elliptic equations in half spaces
- Chapter 6. Second-order elliptic equations in smooth domains
- Chapter 7. Elliptic equations in non-smooth domains
- Chapter 8. Parabolic equations in the whole space
- Chapter 9. Boundary-value problems for parabolic equations in half spaces
- Chapter 10. Parabolic equations in domains