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Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
About this Title
Gershon Kresin, Ariel University Center of Samaria, Ariel, Israel and Vladimir Maz’ya, Linköping University, Linköping, Sweden
Publication: Mathematical Surveys and Monographs
Publication Year:
2012; Volume 183
ISBNs: 978-0-8218-8981-7 (print); 978-0-8218-9169-8 (online)
DOI: https://doi.org/10.1090/surv/183
MathSciNet review: 2962313
MSC: Primary 35-02; Secondary 35A23, 35B50, 35J47, 35K40, 35Q35, 35Q74
Table of Contents
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Front/Back Matter
Chapters
Part 1. Elliptic equations and systems
- 1. Prerequisites on operators acting into finite dimensional spaces
- 2. Maximum modulus principle for second order strongly elliptic systems
- 3. Sharp constants in the Miranda-Agmon inequalities for solutions of certain systems of mathematical physics
- 4. Sharp pointwise estimates for solutions of elliptic systems with boundary data from $L^p$
- 5. Sharp constant in the Miranda-Agmon type inequality for derivatives of solutions to higher order elliptic equations
- 6. Sharp pointwise estimates for directional derivatives and Khavinson’s type extremal problems for harmonic functions
- 7. The norm and the essential norm for double layer vector-valued potentials
Part 2. Parabolic systems