Initial-boundary value problems for second order systems of partial differential equations

Heinz-Otto Kreiss; Omar E. Ortiz; N. Anders Petersson

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Displaying similar documents to “Initial-boundary value problems for second order systems of partial differential equations”

Initial-boundary value problems for second order systems of partial differential equations

Heinz-Otto Kreiss, Omar E. Ortiz, N. Anders Petersson (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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We develop a well-posedness theory for second order systems in bounded domains where boundary phenomena like glancing and surface waves play an important role. Attempts have previously been made to write a second order system consisting of equations as a larger first order system. Unfortunately, the resulting first order system consists, in general, of more than 2 equations which leads to many complications, such as side conditions which...

T-coercivity for scalar interface problems between dielectrics and metamaterials

Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Patrick Ciarlet (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Some electromagnetic materials have, in a given frequency range, an effective dielectric permittivity and/or a magnetic permeability which are real-valued negative coefficients when dissipation is neglected. They are usually called metamaterials. We study a scalar transmission problem between a classical dielectric material and a metamaterial, set in an open, bounded subset of R, with = 23. Our aim is to characterize occurences where the problem is well-posed within the Fredholm (or...