Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains (Paperback)

Mikhail Borsuk

ISBN 10: 303164090X / ISBN 13: 9783031640902

Editore: Birkhauser Verlag AG, Basel, 2024

Riguardo questo articolo

Paperback. 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 (Birkhaeuser, 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Codice articolo 9783031640902

Dati bibliografici

• Titolo: Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains (Paperback)
• Editore: Birkhauser Verlag AG, Basel
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 303164090X
• ISBN 13: 9783031640902
• Rilegatura: Paperback
• Edizione: seconda edizione
• Condizione: new

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Mikhail Borsuk is a well-known specialist in nonlinear boundary value problems for elliptic equations in non-smooth domains. He is a student-follower of eminent mathematicians Y. B. Lopatinskiy and V. A. Kondratiev. He graduated from the Steklov Mathematical Institute of the Russian Academy of Sciences (Moscow) for his postgraduate studies and then worked at the Moscow Institute of Physics and Technology and the Central Aerohydrodynamic Institute of Professor N. E. Zhukovskiy. He is a professor emeritus at the University of Warmia and Mazury in Olsztyn (Poland), where he worked for more than 20 years. He has published 4 monographs, 2 textbooks for students, and   81 scientific articles.