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The L-L estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
Authors:Pierangelo Marcati
Institution:a Dipartimento di Matematica Pura ed Applicata, Universitá degli Studi di L'Aquila via Vetoio, loc.Coppito - 67010 L'Aquila, Italy
b School of Political Science and Economics, Waseda University, Tokyo 169-8050, Japan
Abstract:We first obtain the Lp-Lq estimates of solutions to the Cauchy problem for one-dimensional damped wave equation
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Keywords:Damped wave equation  Diffusive phenomenon  Lp-Lq estimate  p-System with damping  Nonlinear diffusion wave  
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