A simple construction of a parametrix for a regular hyperbolic operator

We develop a cavity method for the spherical Sherrington–Kirkpatrick model at high temperature and small external field. As one application we compute the limit of the covariance matrix for fluctuations of the overlap and magnetization.

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.

Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in $B V$ and $L^{1}$

Jong Uhn Kim (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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