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Interface problems for elliptic second-order equations in non-smooth domains

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interface problems for elliptic second-order equations in non-smooth domainsby Mikhail Borsuk.
Author:	Borsuk, Mikhail.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xiv, 334 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Elliptic.
Online resource:	https://doi.org/10.1007/978-3-031-64091-9
ISBN:	9783031640919$q(electronic bk.)

Interface problems for elliptic second-order equations in non-smooth domains
Borsuk, Mikhail.

Interface problems for elliptic second-order equations in non-smooth domains[electronic resource] /by Mikhail Borsuk. - Second edition. - Cham :Springer Nature Switzerland :2024. - xiv, 334 p. :ill. (some col.), digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

- 1. Preliminaries -- 2. Eigenvalue Problem and Integro-Differential Inequalities -- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain -- 4. Interface Problem for the Laplace Operator with N Different Media -- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain -- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain -- 7. Best Possible Estimates of Solutions to the Interface Problem for a Quasi-Linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge -- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n- Dimensional Cone -- 9. Existence of Bounded Weak Solutions.

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions. Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.

ISBN: 9783031640919$q(electronic bk.)

Standard No.: 10.1007/978-3-031-64091-9doiSubjects--Topical Terms:

205654
Differential equations, Elliptic.

LC Class. No.: QA377

Dewey Class. No.: 515.3533

Interface problems for elliptic second-order equations in non-smooth domains
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505 0 $a - 1. Preliminaries -- 2. Eigenvalue Problem and Integro-Differential Inequalities -- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain -- 4. Interface Problem for the Laplace Operator with N Different Media -- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain -- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain -- 7. Best Possible Estimates of Solutions to the Interface Problem for a Quasi-Linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge -- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n- Dimensional Cone -- 9. Existence of Bounded Weak Solutions.
520 $a The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions. Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.
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