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Existence and uniqueness

Mauro Fabrizio and Morro Angelo

in Electromagnetism of Continuous Media: Mathematical Modelling and Applications

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198527008
eISBN:
9780191713316
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527008.003.0007
Subject:
Mathematics, Applied Mathematics

This chapter provides a wide class of mathematical problems which originates from the application of Maxwell’s differential equations to electromagnetic systems. Static, stationary, and transient ... More


Well Posedness

G. F. Roach, I. G. Stratis, and A. N. Yannacopoulos

in Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691142173
eISBN:
9781400842650
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691142173.003.0007
Subject:
Mathematics, Applied Mathematics

This chapter deals with electromagnetic fields in complex media in the time domain. First, the chapter discusses the Maxwell equations in complex media in the time domain and shows that they can be ... More


Hölder Regularity for Generalized Master Equations with Rough Kernels

Luis Caffarelli and Luis Silvestre

Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, Stephen Wainger, Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger (eds)

in Advances in Analysis: The Legacy of Elias M. Stein

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159416
eISBN:
9781400848935
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159416.003.0004
Subject:
Mathematics, Numerical Analysis

This chapter studies evolution problems that are related to continuous time random walks (CTRW), having a discontinuous path for which both the jumps and the time elapsed in between them are random. ... More


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