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

Heinz-Otto KreissOmar E. OrtizN. Anders Petersson — 2012

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

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 must be satisfied by the solution of the larger first order...

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

Heinz-Otto KreissOmar E. OrtizN. Anders Petersson — 2012

ESAIM: Mathematical Modelling and Numerical Analysis

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 must be...

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