Abstract
We study the decay of solutions of two nonlinear evolution equations: the Benjamin-Ono-Burgers and the Schrodinger-Burgers equations. We establish sharp rates ofL2 decay of global solutions to these problems, with initial dataU0(x)∈L1∩L2. The decay results of the solutions follow from thea priori L2 integral estimates and the Fourier transform. The standard argument relies on a technique that involves the splitting of the phase space into two time-dependent subdomains.
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