$L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity

• Autorzy: Jerzy Gawinecki
• Języki publikacji: EN

Abstrakty

EN

We prove the $L^p$-$L^q$-time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman's approach [12], [5] to the $L^p$-$L^q$-time decay estimates.

Słowa kluczowe

EN

decay estimates; partial differential equations; Cauchy problem; symmetric hyperbolic system of first order; linear thermoelasticity

Kategorie tematyczne

• 35E05: Fundamental solutions
• 35L15: Initial value problems for second-order hyperbolic equations
• 35L40: First-order hyperbolic systems
• 35L45: Initial value problems for first-order hyperbolic systems
• 35E15: Initial value problems
• 35A08: Fundamental solutions
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 2
• Strony: 135-145

Daty

wydano

1991

otrzymano

1989-09-10

poprawiono

1990-05-07

Twórcy

autor

Jerzy Gawinecki

• Department of Mathematics, Military Technical Academy, S. Kaliskiego 2, 01-489 Warszawa, Poland

Bibliografia

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