Name: linear and quasilinear parabolic problems
SKU: 3407598
Price: 5803.00 TWD
Availability: InStock
Author: amann
ISBN: 9783764351144

portada linear and quasilinear parabolic problems

linear and quasilinear parabolic problems

Type

Physical Book

Publisher

Springer

Author

amann

Language

English

ISBN

3764351144

ISBN13

9783764351144

Synopsis "linear and quasilinear parabolic problems"

this treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. this approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. it is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. the present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general banach spaces. it contains a careful exposition of the constant domain case, leading to some improvements of the classical sobolevskii-tanabe results. it also includes recent results for equations possessing constant interpolation spaces. in addition, systematic presentations of the theory of maximal regularity in spaces of continuous and hölder continuous functions, and in lebesgue spaces, are given. it includes related recent theorems in the field of harmonic analysis in banach spaces and on operators possessing bounded imaginary powers. lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.