Linear and Nonlinear Parabolic Complex Equations

Wen, Guo Chun

World Scientific Publishing Co Pte Ltd（1999/04発売）

• 製本 Hardcover:ハードカバー版／ページ数 256 p.
• 言語 ENG
• 商品コード 9789810238568
• DDC分類 515.353

Full Description

This book deals mainly with linear and nonlinear parabolic equations and systems of second order. It first transforms the real forms of parabolic equations and systems into complex forms, and then discusses several initial boundary value problems and Cauchy problems for quasilinear and nonlinear parabolic complex equations of second order with smooth coefficients or measurable coefficients. Parabolic complex equations are discussed in the nonlinear case and the boundary conditions usually include the initial irregular oblique derivative. The boundary value problems are considered in multiply connected domains and several methods are used.

Contents

Properties of solutions for parabolic complex equations of second order; quasilinear parabolic complex equations of second order with smooth coefficients; nonlinear parabolic complex equations of second order with smooth coefficients; nonlinear parabolic complex equations of second order with measurable coefficients; nonlinear parabolic complex systems of second order equations with measurable coefficients; Cauchy problems for nonlinear parabolic equations and systems of second order.