Existence of weak solutions with different initial energy levels to an equation modeling shallow-water waves

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Taşkesen H., Polat N.

International Journal of Open Problems in Computer Science and Mathematics, vol.14, no.4, pp.29-47, 2021 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 14 Issue: 4
• Publication Date: 2021
• Journal Name: International Journal of Open Problems in Computer Science and Mathematics
• Journal Indexes: Other Indexes
• Page Numbers: pp.29-47
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

The present paper considers the Cauchy problem of a generalized shallow water wave equation with two different initial energy levels. We investigate the existence of global weak solutions in critical and supercritical energy levels by sign preserving property of some functionals introduced for the potential well method.