A Sobolev-type inequality with applications

Ramón G. Plaza

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Submission date: 27. Feb. 2007
published in: Journal of inequalities in pure and applied mathematics, 8 (2007) 1, art-no. 2 
Bibtex
MSC-Numbers: 26D10, 35L67
Keywords and phrases: Sobolev-type inequality, linear decay rates, viscous shocks

Abstract:
In this note, a Sobolev-type inequality is proved. Applications to obtaining linear decay rates for perturbations of viscous shocks are also discussed.