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Analyticity of solutions of nonlinear evolution equations
Authors:FJ Massey
Institution:Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506 USA
Abstract:Analyticity in t of solutions u(t) of nonlinear evolution equations of the form u′ + A(t, u)u = ?(t, u), t > 0, u(0) = u0, is established under suitable conditions on A(t, u), ?(t, u), and u0. An application is given to quasilinear parabolic equations.
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