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math-ph2012
Scattering problems for symmetric systems with dissipative boundary conditions
Vesselin Petkov
We study symmetric systems with dissipative boundary conditions. The solutions of the mixed problems for such systems are given by a contraction semigroup $V(t)f = e^{tG_b}f, t \ge…
math-ph2010
Incoming and disappearing solutions for Maxwell's equations
Ferruccio Colombini, Vesselin Petkov, Jeffrey Rauch
We prove that in contrast to the free wave equation in there are no incoming solutions of Maxwell's equations in the form of spherical or modulated spherical waves. We const…