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

• Autorzy: Arkadiusz Szymaniec
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35G25: Initial value problems for nonlinear higher-order equations
• 35G16: Initial-boundary value problems for linear higher-order equations
• 35G55: Initial value problems for nonlinear higher-order systems
• 35M13: Initial-boundary value problems for equations of mixed type

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 2
• Strony: 143-170

Daty

wydano

2010

Twórcy

autor

Arkadiusz Szymaniec

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

Identyfikatory

DOI

10.4064/am37-2-2