دانلود کتاب Hodge Decomposition—A Method for Solving Boundary Value Problems

Name: Hodge Decomposition—A Method for Solving Boundary Value Problems
Availability: InStock
Author: Günter Schwarz (auth.)
ISBN: 3540600167, 9783540600169

by Günter Schwarz (auth.)

عنوان فارسی: هاج تجزیه-یک روش برای حل مسائل مقدار مرزی
ناشر: Springer-Verlag Berlin Heidelberg
سال: 1995
ویرایش: 1
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 164-161
شابک: 3540600167, 9783540600169
نوع فایل: DJVU دانلود نرم افزار مطالعه
حجم: 0.98 مگابایت

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جزییات کتاب

Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields.

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