Regularity Problem for Quasilinear Elliptic and Parabolic Systems

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 a...

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Autor principal: Koshelev, Aleksander Ivanovich, 1927-2009, mathématicien
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 1614
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Regularity problem for quasilinear elliptic and parabolic systems, Alexander Koshelev, 1995, Berlin, Springer, 1 volume (XXI-255 pages), Lecture notes in mathematics, 3-540-60251-8
• Regularity Problem for Quasilinear Elliptic and Parabolic Systems, Texte imprimé, 9783662177938
Taula de continguts:
  • 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.