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Abstract
This paper establishes more results on the decay of solutions for the Rosenau–Burgers equation Some new results on the asymptotic behavior of the solutions have been developed by the Fourier transform method with energy estimates, which improve our previous work [6]. Furthermore, the stability of the stationary travelling wave solutions and the exponential tfme-decay rate are established by the technical weighted energy method.
∗Research was partly supported by the JSPS Fhtxwh Fellowship for Young Scientists and by the Grantrin-Aid for JSPS No. P-96169 from the Miniatry of Culture, Education and Science of Japan, and by the Sasakawa Scientific Research Grant No. 8-69 from the Japan Science Society.
∗Research was partly supported by the JSPS Fhtxwh Fellowship for Young Scientists and by the Grantrin-Aid for JSPS No. P-96169 from the Miniatry of Culture, Education and Science of Japan, and by the Sasakawa Scientific Research Grant No. 8-69 from the Japan Science Society.
Notes
∗Research was partly supported by the JSPS Fhtxwh Fellowship for Young Scientists and by the Grantrin-Aid for JSPS No. P-96169 from the Miniatry of Culture, Education and Science of Japan, and by the Sasakawa Scientific Research Grant No. 8-69 from the Japan Science Society.