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Elliptic Partial Differential Equations

Existence and Regularity of Distributional Solutions

Lucio Boccardo, Gisella Croce (Autoren)

Buch | Hardcover

IX, 192 Seiten

2013
De Gruyter (Verlag)
978-3-11-031540-0 (ISBN)

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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Elliptic partial differential equations is one of the main and most active areas in mathematics. This book is devoted to the study of linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason this monograph is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.

Lucio Boccardo, University of Rome, Italy; Gisella Croce, University of Le Havre, France.

"[...] This self-contained book is very well written and organized. I highly recommend it to graduate students who study elliptic partial differential equations and beginning researchers in this area. It can also serve as a reference book for a broader community of mathematicians, physicists, and engineers." Mathematical Reviews

Erscheint lt. Verlag	17.10.2013
Reihe/Serie	De Gruyter Studies in Mathematics ; 55
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	483 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Dirichlet Problems for Elliptic Equations • Distributional Solution • Elliptische Differenzialgleichungen • Elliptische Probleme • Entropy Solutions • Existenz • Leray-Lions Problem • nonlinear elliptic partial differential equations • Nonlinear Elliptic Partial Differential Equations in Divergence Form • Nonlinear Elliptic Partial Differential Equations in Divergence Form; Dirichlet Problems for Elliptic Equations; Distributional Solution; Entropy Solutions; Leray-Lions Problem; Sobolev Space • Ordnung • Partielle Differentialgleichungen • Partielle Differenzialgleichungen • Sobolev Space
ISBN-10	3-11-031540-8 / 3110315408
ISBN-13	978-3-11-031540-0 / 9783110315400
Zustand	Neuware