Damped wave equations and the heat equation

Watson Fulks; Ronald B. Guenther

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Displaying similar documents to “Damped wave equations and the heat equation”

Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Eduard Feireisl (1990)

Aplikace matematiky

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A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of $L \infty$ - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.

Dispersive limits in the homogenization of the wave equation

Grégoire Allaire (2003)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Remarks on Kato's square-root problem.

Jean-Lin Journé (1991)

Publicacions Matemàtiques

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L-estimates for the wave equation on the Heisenberg group.

Detlef Müller, Elias M. Stein (1999)

Revista Matemática Iberoamericana

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Let £ denote the sub-Laplacian on the Heisenberg group H. We prove that e / (1 - £) extends to a bounded operator on L(H), for 1 ≤ p ≤ ∞, when α > (d - 1) |1/p - 1/2|.

Some results on the well-posedness for systems with time dependent coefficients

Marcello D’Abbicco, Giovanni Taglialatela (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider hyperbolic systems with time dependent coefficients and size $2$ or $3$ . We give some sufficient conditions in order the Cauchy Problem to be well-posed in $𝒞^{\infty}$ and in Gevrey spaces.