Regularization of Solution Operators for Quasilinear Hyperbolic-parabolic Partial Differential Equations
Year: 1997
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 4 : pp. 347–354
Abstract
We list a hierarchy of hyperbolic-parabolic partial differential equations in terms of the regularization properties of their solution operators. This ranges from the most regularizing of the heat operator to the least, that of the hyperbolic conservation laws. We illustrate this with physical examples in gas dynamics and mechanics.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JPDE-5604
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 4 : pp. 347–354
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Nonlinear hyperbolicity