Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
暫譯: 非光滑區域中橢圓二階方程的邊界問題
Borsuk, Mikhail
- 出版商: Birkhauser Boston
- 出版日期: 2024-10-27
- 售價: $2,610
- 貴賓價: 9.5 折 $2,480
- 語言: 英文
- 頁數: 332
- 裝訂: Quality Paper - also called trade paper
- ISBN: 303164090X
- ISBN-13: 9783031640902
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商品描述
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.
商品描述(中文翻譯)
本書的目標是研究邊界奇異點附近的橢圓介面問題的弱解行為：角點和圓錐點或邊緣。這個問題同時考慮線性和準線性方程，這些方程是較少研究的變種。作為《非光滑區域的橢圓二階方程的傳遞問題》（Birkhäuser, 2010）的第二版，本卷包含兩個全新的章節：一個是關於在有界的 n 維圓錐中擾動的 p(x)-拉普拉斯方程的斜導數問題，另一個是關於有界弱解的存在性。
研究人員和高年級研究生將會欣賞這本在該領域的新材料的精簡彙編。
作者簡介
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.
作者簡介(中文翻譯)
Mikhail Borsuk 是一位著名的專家，專注於非光滑區域中橢圓方程的非線性邊值問題。他是著名數學家 Y. B. Lopatinskiy 和 V. A. Kondratiev 的學生追隨者。他在俄羅斯科學院斯捷克洛夫數學研究所（莫斯科）完成研究生學業，隨後在莫斯科物理技術學院和 N. E. Zhukovskiy 教授的中央氣動水力學研究所工作。他是波蘭奧爾什丁的瓦爾米亞和馬祖里大學的名譽教授，在那裡工作了超過 20 年。他已出版 4 本專著、2 本學生教材和 81 篇科學文章。
