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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...
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...