Wellposedness of a Cauchy Problem Associated to the Even Order Equation
DOI:
https://doi.org/10.14738/aivp.126.17983Keywords:
Semigroups theory, even order equation, existence of solution, dissipative property, Periodic Sobolev spaces, Fourier TheoryAbstract
In this article we prove that the Cauchy problem associated to n-th order equation in periodic Sobolev spaces is globally well posed when n is an even number multiple of four. We do this in an intuitive way using Fourier theory and in a fine version using semigroups theory. Finally, we demonstrate the dissipative property of the Cauchy problem using differential calculus in Hsper
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Copyright (c) 2024 Yolanda Silvia Santiago Ayala
This work is licensed under a Creative Commons Attribution 4.0 International License.
