The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds

ISBN-13: 9783110482669 / Angielski / Twarda / 2016 / 528 str.

Dorina Mitrea;Irina Mitrea;Marius Mitrea

Opis

The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderon-Zygmund theory is developed for variable coefficient singular integral operators. At the intersection of PDEs, harmonic analysis and differential geometry this text is suitable for a wide range of PhD students, researchers and professionals. "

Recenzje

"The book represents the cumulation of a large body of work of the authors. Nonetheless, it is essentially self-contained, including the main geometric and analytic preliminaries. There are a large number of variations of settings. But the book is very well structured, avoiding potential confusions here." Mathematical Reviews

O autorze

D. Mitrea and M. Mitrea, Univ. of Missouri, USA;
I. Mitrea, Temple Univ., Philadelphia, USA;
M. Taylor, Univ. of North Carolina, USA.