Maximum principles and sharp constants for solutions of elliptic and parabolic systems /

Weitere Versionen (2)
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Weitere Titel:
Introduction
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
8. Maximum modulus principle for parabolic systems
9. Maximum modulus principle for parabolic systems with zero boundary data
10. Maximum norm principle for parabolic systems without lower order terms
11. Maximum norm principle with respect to smooth norms for parabolic systems
Hauptverfasser:
Kresin, Gershon, Mazʹi︠a︡, V. G.
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Providence, Rhode Island : American Mathematical Society, [2012]
Umfang:
1 online resource (vii, 317 pages)
Mode of access : World Wide Web
Format Details:
Mode of access : World Wide Web
Bibliografie:
Includes bibliographical references (pages 297-306) and index.
Schriftenreihe:
Mathematical Surveys and Monographs,
Sekundärform:
Publikations­art: Electronic reproduction.
Verlag: Providence, Rhode Island :: American Mathematical Society.
Publikations­datum: 2012
ISBN:
9780821891698 (online)
ISSN:
2331-7159 ;
0076-5376
DOI:
http://dx.doi.org/10.1090/surv/183
Zugangseinschränkungen:
Access is restricted to licensed institutions
Schlagworte:
Inequalities (Mathematics)
Maximum principles (Mathematics)
Partial differential equations > General topics > Inequalities involving derivatives and differential and integral operators, inequalities for integrals.
Partial differential equations > Qualitative properties of solutions > Maximum principles.
Partial differential equations > Elliptic equations and systems > Second-order elliptic systems.
Partial differential equations > Parabolic equations and systems > Second-order parabolic systems.
Potential theory > Higher-dimensional theory > Integral representations, integral operators, integral equations methods.
Partial differential equations > Elliptic equations and systems > Higher-order elliptic equations.
Partial differential equations > Equations of mathematical physics and other areas of application > PDEs in connection with fluid mechanics.
Partial differential equations > Equations of mathematical physics and other areas of application > PDEs in connection with mechanics of deformable solids.
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