Regularity problem for quasilinear elliptic and parabolic systems / Alexander Koshelev.

By: Koshelev, A. I. (Aleksandr Ivanovich), 1927-
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1614.Publisher: Berlin ; New York : Springer, ©1995Description: 1 online resource (xxi, 255 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540447726; 3540447725Subject(s): Differential equations, Elliptic -- Numerical solutions | Differential equations, Parabolic -- Numerical solutions | Équations différentielles elliptiques -- Solutions numériques | Équations différentielles paraboliques -- Solutions numériques | Differential equations, Elliptic -- Numerical solutions | Differential equations, Parabolic -- Numerical solutions | Elliptische differentiaalvergelijkingen | Parabolische differentiaalvergelijkingen | Équations différentielles elliptiques -- Analyse numérique | Équations différentielles paraboliques -- Solutions numériquesGenre/Form: Electronic books. Additional physical formats: Print version:: Regularity problem for quasilinear elliptic and parabolic systems.DDC classification: 510 s | 515/.353 LOC classification: QA3 | .L28 no. 1614 | QA377Other classification: 31.45 Online resources: Click here to access online Summary: 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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Includes bibliographical references (pages 248-255).

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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