Wellposedness of a Cauchy Problem Associated to Third Order Equation
Keywords:Groups and semigroups theory, third order equation, existence of solution, n-th order equation, Periodic Sobolev spaces, Fourier Theory.
In this article we prove that the Cauchy problem associated to third order equation in periodic Sobolev spaces is globally well posed. We do this in an intuitive way using Fourier theory and in a fine version using groups theory. Also, we study its generalization to n-th order equation.
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Copyright (c) 2022 Yolanda Santiago Ayala
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