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Regularity Problem for Quasilinear Elliptic and Parabolic Systems de Alexander Koshelev

Regularity Problem for Quasilinear Elliptic and Parabolic Systems: Lecture Notes in Mathematics, cartea 1614

Autor Alexander Koshelev
en Limba Engleză Paperback – 18 sep 1995
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.
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Specificații

ISBN-13: 9783540602514
ISBN-10: 3540602518
Pagini: 284
Ilustrații: XXII, 262 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:1995
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.