Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Nonlinear elliptic equations and nonassociative algebras / Nikolai Nadirashvili, Vladimir Tkachev and Serge Vladut.

By: Contributor(s): Material type: TextTextSeries: Mathematical surveys and monographs ; v 200.Publication details: Providence : American Mathematical Society, c2014.Description: vii, 240 p. ; 27 cmISBN:
  • 9781470417109 (acidfree paper)
Subject(s): DDC classification:
  • 510MS 23 Am512
Contents:
1. Nonlinear elliptic equations-- 2. Division algebras, exceptional lie groups, and calibrations-- 3. Jordan algebras and the cartan isoparametric cubics-- 4. Solutions from trialities-- 5. Solutions from isoparametric forms-- 6. Cubic minimal cones-- 7. Singular solutions in calibrated geometries-- Bibliography-- Notation-- Index.
Summary: This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510MS Am512 (Browse shelf(Opens below)) Available 135873
Total holds: 0

Includes bibliographical references (pages 223-233) and index.

1. Nonlinear elliptic equations--
2. Division algebras, exceptional lie groups, and calibrations--
3. Jordan algebras and the cartan isoparametric cubics--
4. Solutions from trialities--
5. Solutions from isoparametric forms--
6. Cubic minimal cones--
7. Singular solutions in calibrated geometries--
Bibliography--
Notation--
Index.

This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in