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$L^{p}$-$L^{q}$ time decay estimates for the solution of the linear partial differential equations of thermodiffusion

Tom 37 / 2010

Arkadiusz Szymaniec Applicationes Mathematicae 37 (2010), 143-170 MSC: 35G16, 35G25, 35G55, 35M13. DOI: 10.4064/am37-2-2

Streszczenie

We consider the initial-value problem for a linear hyperbolic parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove $L^p$-$L^q$ time decay estimates for the solution of the associated linear Cauchy problem.

Autorzy

  • Arkadiusz SzymaniecInstitute of Mathematics and Cryptology
    Faculty of Cybernetics
    Military University of Technology
    S. Kaliskiego 2
    00-908 Warszawa, Poland
    e-mail

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