Transmission Problems For Elliptic Second Order Equations In Non Smooth Domains (Frontiers In Mathematics)

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Thegoalofthisbookistoinvestigatethebehaviourofweaksolutionstotheelliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges. We consider this problem both for linear and quasi-linear (very little studied) equations. In style and methods of research, this book is close to our monograph [14] together with Prof. V. Kondratiev. The book consists of an Introduction, seven chapters, a Bibliography and Indexes. Chapter 1 is of auxiliary character. We recall the basic de?nitions and properties of Sobolev spaces and weighted Sobolev-Kondratiev spaces. Here we recall also the well-known Stampacchia's Lemma and derive a generalization for the solution of the Cauchy problem - the Gronwall-Chaplygin type inequality. Chapter 2 deals with the eigenvalue problem for m-Laplace-Beltrami op- ator. By the variational principle we prove a new integro-di?erential Friedrichs- Wirtinger type inequality. This inequality is the basis for obtaining of precise exponents of the decreasing rate of the solution near boundary singularities. Chapter 3 deals with the investigation of the transmission problem for linear elliptic second order equations in the domains with boundary conic point. Chapter 4 is devoted to the transmission problem in conic domains with N di?erent media for an equation with the Laplace operator in the principal part. Chapters 5, 6 and 7 deal with the investigation of the transmission problem forquasi-linearellipticsecondorderequationsinthe domainswithboundaryconic point (Chapters 5-6) or with an edge at the boundary of a domain.

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اشاعه ی کودک آزاری
سایر موارد

بستن

فرمت کتاب

ebook

زبان

german

تاریخ انتشار

2010

نویسنده

Mikhail Borsuk

ناشر

Birkhauser Basel

شابک

9783034604765

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Transmission Problems For Elliptic Second Order Equations In Non Smooth Domains (Frontiers In Mathematics)

Transmission Problems For Elliptic Second Order Equations In Non Smooth Domains (Frontiers In Mathematics)

گزارش تخلف

فرمت کتاب

ebook

زبان

german

تاریخ انتشار

2010

نویسنده

ناشر

شابک

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