Existence of weak solutions with different initial energy levels to an equation modeling shallow-water waves
International Journal of Open Problems in Computer Science and Mathematics, cilt.14, sa.4, ss.29-47, 2021 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 4
- Basım Tarihi: 2021
- Dergi Adı: International Journal of Open Problems in Computer Science and Mathematics
- Derginin Tarandığı İndeksler: Other Indexes
- Sayfa Sayıları: ss.29-47
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
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.