N.V. Pogorelov's Books

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

By: A.G. Kulikovskii,N.V. Pogorelov,A. Yu. Semenov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

By: A.G. Kulikovskii,N.V. Pogorelov,A. Yu. Semenov

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics,

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

555

Publisher

CRC Press

Published Date

ISBN 10

1482273993

ISBN 13

9781482273991

Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations

By: N. V. Krylov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations

By: N. V. Krylov

This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. We look for solutions in Sobolev classes, local or global, or for viscosity solutions. Most of the auxiliary results, such as Aleksandrov's elliptic and parabolic estimates, the Krylov–Safonov and the Evans–Krylov theorems, are taken from old sources, and the main results were obtained in the last few years. Presentation of these results is based on a generalization of the Fefferman–Stein theorem, on Fang-Hua Lin's like estimates, and on the so-called “ersatz” existence theorems, saying that one can slightly modify “any” equation and get a “cut-off” equation that has solutions with bounded derivatives. These theorems allow us to prove the solvability in Sobolev classes for equations that are quite far from the ones which are convex or concave with respect to the Hessians of the unknown functions. In studying viscosity solutions, these theorems also allow us to deal with classical approximating solutions, thus avoiding sometimes heavy constructions from the usual theory of viscosity solutions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

458

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470447401

ISBN 13

9781470447403

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

By: A.G. Kulikovskii,N.V. Pogorelov,A. Yu. Semenov

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

By: A.G. Kulikovskii,N.V. Pogorelov,A. Yu. Semenov

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

555

Publisher

CRC Press

Published Date

ISBN 10

1482273993

ISBN 13

9781482273991

Book's by N.V. Pogorelov

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations

Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Username

Password

Username

Password

Password again

Birthday

Email