Download E-books Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series) PDF

This e-book, first released in 2001, specializes in Poincaré, Nash and different Sobolev-type inequalities and their functions to the Laplace and warmth diffusion equations on Riemannian manifolds. purposes coated contain the ultracontractivity of the warmth diffusion semigroup, Gaussian warmth kernel bounds, the Rozenblum-Lieb-Cwikel inequality and elliptic and parabolic Harnack inequalities. Emphasis is put on the function of households of neighborhood Poincaré and Sobolev inequalities. The textual content presents the 1st self contained account of the equivalence among the uniform parabolic Harnack inequality, at the one hand, and the conjunction of the doubling quantity estate and Poincaré's inequality at the different. it really is compatible for use as a complicated graduate textbook and also will be an invaluable resource of data for graduate scholars and researchers in research on manifolds, geometric differential equations, Brownian movement and diffusion on manifolds, in addition to different similar parts.

Show description

Read Online or Download Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series) PDF

Similar Abstract books

Semigroups of Linear Operators and Applications to Partial Differential Equations (Applied Mathematical Sciences)

Because the characterization of turbines of C0 semigroups used to be tested within the Forties, semigroups of linear operators and its neighboring components have constructed into an summary conception that has develop into an important self-discipline in practical research and differential equations. This e-book offers that concept and its simple purposes, and the final chapters supply a hooked up account of the functions to partial differential equations.

Abstract Harmonic Analysis: Volume I Structure of Topological Groups Integration Theory Group Representations (Grundlehren der mathematischen Wissenschaften)

The ebook is predicated on classes given via E. Hewitt on the college of Washington and the collage of Uppsala. The ebook is meant to be readable via scholars who've had uncomplicated graduate classes in genuine research, set-theoretic topology, and algebra. that's, the reader may still be aware of easy set idea, set-theoretic topology, degree conception, and algebra.

An Introduction to the Theory of Groups (Graduate Texts in Mathematics)

Somebody who has studied summary algebra and linear algebra as an undergraduate can comprehend this e-book. the 1st six chapters offer fabric for a primary direction, whereas the remainder of the booklet covers extra complex subject matters. This revised version keeps the readability of presentation that was once the hallmark of the former variations.

Homogenization of Reticulated Structures (Applied Mathematical Sciences) (v. 136)

Fabrics technological know-how is a space of starting to be learn as composite fabrics turn into regular in such parts as civil engineering, electrotechnics, and the aerospace undefined. This mathematically rigorous therapy of lattice-type buildings will attract either utilized mathematicians, in addition to engineers searching for a fantastic mathematical starting place of the technique.

Additional resources for Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series)

Show sample text content

Rated 4.26 of 5 – based on 42 votes