Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
Vadim Komkov (1974)
Annales Polonici Mathematici
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Displaying similar documents to “Resolvent estimates with mild trapping”
Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
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Annales Polonici Mathematici
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The aim of this work is threefold. First we set up a calculus for partial differential operators with nonsmooth coefficients which is based on the FBI (Fourier-Bros-Iagolnitzer) transform. Then, using this calculus, we prove a weaker version of the Strichartz estimates for second order hyperbolic equations with nonsmooth coefficients. Finally, we apply these new Strichartz estimates to second order nonlinear hyperbolic equations and improve the local theory, i.e. prove local well-posedness...