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Multiplicity and Regularity of Large Periodic Solutions with Rational Frequency for a Class of Semilinear Monotone Wave Equations by Fokam, Jean Marcel is a scholarly article available to read on EtoBox.

What is Multiplicity and Regularity of Large Periodic Solutions with Rational Frequency for a Class of Semilinear Monotone Wave Equations about?

We prove existence of infinitely many classical periodic solutions with periodic boundary conditions for a class of monotone semilinear wave equations. Our argument relies on some new estimates for the linear problem with periodic boundary conditions by combining Littewood-Paley techniques, the Hausdorff-Young theorem and a variational formulation due to Rabinowitz. We also develop a new approach to the regularity of distributional solutions by differentiating the equations and employing Gagliardo-Nirenberg estimates.

Author

Fokam, Jean Marcel

Published

2010

Language

EN