Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Implicit Partial Differential Equations

Implicit Partial Differential Equations

Marcellini, Paolo
Dacorogna, Bernard

Paperback

Series: Progress in Nonlinear Differential Equations and Their Appli, Book 37

General Mathematics

ISBN10: 1461271932
ISBN13: 9781461271932
Publisher: Birkhauser
Published: Oct 21 2012
Pages: 273
Weight: 0.91
Height: 0.61 Width: 6.14 Depth: 9.21
Language: English
Nonlinear partial differential equations has become one of the main tools of mod- ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called implicit partial differential equations, described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin- ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.

1 different editions

Also available

Also from

Dacorogna, Bernard

View All

Also in

General Mathematics

View All