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＜電子ブック＞
Regularity Problem for Quasilinear Elliptic and Parabolic Systems / by Alexander Koshelev
(Lecture Notes in Mathematics. ISSN:16179692 ; 1614)

版	1st ed. 1995.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1995
本文言語	英語
大きさ	XXII, 262 p : online resource
冊子体	Regularity problem for quasilinear elliptic and parabolic systems / Alexander Koshelev
著者標目	*Koshelev, Alexander author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	Weak solutions and the universal iterative process -- Regularity of solutions for non degenerated quasilinear second order elliptic systems of the divergent form with bounded nonlinearities -- Some properties and applications of regular solutions for quasilinear elliptic systems -- Diffeentiability of solutions for second order elliptic systems -- Regularity of solutions for parabolic systems with some applications -- The Navier-Stokes system; strong solutions The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0094482

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