We list here some applications of Thms. 1,2 to concrete examples of Cauchy problems for partial differential equations.. Oleinik, [0]; see [D] for details) concerning

tion theorem for semilinear stochastic evolution equations in Hilbert spaces.. was

On the other hand, in [Br], M.D.Bronˇ stein has proved that the Cauchy problem for weakly hyperbolic equations and systems is well posed in Gevrey spaces G s for s ≤ 1+1/(m−1) where

Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type.. Rendiconti del Seminario Matematico della Università di Padova, tome

We consider the Cauchy problem for a second order weakly hyperbolic equation, with coefficients depending only on the time variable... By the Cauchy–Kovalevski theorem we know that

Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces.. Rendiconti del Seminario Matematico della Università di Padova, tome 62

KINOSHITA, On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic systems with Hölder continuous coefficients in t, preprint. [9]

Bisher erhielten Suchtkranke nur dann eine IV-Rente, wenn die Abhängigkeit aufgrund einer anderen primären Krankheit (z. einer Persönlichkeits- störung) entstanden war.. Eine wegen

Finally, we would like to stress that this paper is restricted to Hilbert space settings for two main reasons: the use of maximal L 2 -regularity for solutions of linear

Cerrai, Stationary Hamilton–Jacobi equations in Hilbert spaces and applications to a stochastic optimal control problem..

ZANGHIRATI, Fourier integral operators of infinite order on Gevrey spaces applications to the Cauchy problem for certain hyperbolic operators, J. CICOGNANI, The

Zhang, Existence of ground states for semilinear elliptic equations with decaying mass: a parabolic approach, C. Weissler, Semilinear evolution equations in Banach

Let us finally emphasize that several necessary conditions, such as the Levi's condition, are known for the hyperbolicity of the equation uu-a(t) Uxx+b(t) ux=0,

We consider a Cauchy problem for a semilinear second-order differential inclusion in separable and non separable Banach spaces under Filippov type assumptions and prove the existence

Though the Cauchy problem for linear equations, as above, could be studied yet by more advanced methods (referring to equations in locally convex spaces, cf. [2],

This paper is devoted to the study of the Cauchy problem in C ~ and in the Gevrey classes for some second order degenerate hyperbolic equations with time dependent

Wittbold, The Cauchy problem for a conservation law with a multiplicative stochastic perturbation, Journal of Hyperbolic Differential Equations 09 (04) (2012) 661–709..

Figure 2 shows the results of correlating polar cap flux (from DMSP boundaries) with premidnight auroral power (from the UVI imager). Since all corre- lations reported are with