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On the well-posedness of weakly hyperbolic equations with time dependent coefficients
Hyperbolic equations Gevrey spaces ultradistributions Analysis of PDEs
2011/9/5
Abstract: In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lo...
Similarity solutions of Fokker-Planck equation with time-dependent coefficients
Fokker-Planck equation time-dependent drift and diffusion similarity method
2011/7/26
Abstract: In this work, we consider the solvability of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients by means of the similarity method. By the introduction of th...
Determination of time-dependent coefficients for a hyperbolic inverse problem
time-dependent coefficients hyperbolic inverse problem
2010/12/9
We consider an inverse boundary value problem for the hyperbolic partial differential equation
(−i@t+A0(t, x))2u(t, x)−Xn j=1−i@xj+Aj(t, x)2 u(t, x)+V (t, x)u(t, x) = 0 w...
On weak convergence of one-dimensional diffusions with time-dependent coefficients
weak convergence of one-dimensional diffusions time-dependent coefficients
2009/9/22
We investigate stability, with respect to convergence of
coefficients, of one-dimensional It6 diRussions as well as one-dimensionat
diffusions wrresponding to second order divergence form operators....