Overview

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 OrderQuasilinear Parabolic Complex Equations of Second Order with Smooth CoefficientsNonlinear Parabolic Complex Equations of Second Order with Smooth CoefficientsNonlinear Parabolic Complex Equations of Second Order with Measurable CoefficientsNonlinear Parabolic Complex Systems of Second Order Equations with Measurable CoefficientsCauchy Problems for Nonlinear Parabolic Equations and Systems of Second OrderReadership: Students and researchers on function theory and partial differential equations.

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9781299614420

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