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＜電子ブック＞
Maximum principles and sharp constants for solutions of elliptic and parabolic systems / Gershon Kresin, Vladimir Maz'ya
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 183)

出版者	Providence, Rhode Island : American Mathematical Society
出版年	[2012]
本文言語	英語
大きさ	1 online resource (vii, 317 pages)
著者標目	*Kresin, Gershon author Maz��i�a, V. G. author
件　名	LCSH:Inequalities (Mathematics) LCSH:Maximum principles (Mathematics) FREE:Partial differential equations -- General topics -- Inequalities involving derivatives and differential and integral operators, inequalities for integrals  全ての件名で検索 FREE:Partial differential equations -- Qualitative properties of solutions -- Maximum principles  全ての件名で検索 FREE:Partial differential equations -- Elliptic equations and systems -- Second-order elliptic systems  全ての件名で検索 FREE:Partial differential equations -- Parabolic equations and systems -- Second-order parabolic systems  全ての件名で検索 FREE:Potential theory -- Higher-dimensional theory -- Integral representations, integral operators, integral equations methods  全ての件名で検索 FREE:Partial differential equations -- Elliptic equations and systems -- Higher-order elliptic equations  全ての件名で検索 FREE:Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with fluid mechanics  全ての件名で検索 FREE:Partial differential equations -- Equations of mathematical physics and other areas of application -- PDEs in connection with mechanics of deformable solids  全ての件名で検索
内容注記	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
一般注記	Includes bibliographical references (pages 297-306) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/183 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/183 Information=Contents

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