Global existence of solutions for a weakly coupled system of three damped σ-evolution equations
Künye
Djaouti, A. M. (2024). Global existence of solutions for a weakly coupled system of three damped σ-evolution equations. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 873-885.Özet
In this paper our purpose is the study of the Cauchy problem for weakly coupled system of three semi-linear damped σ-evolution equations. Using (Lᵐ ∩ L²) -L² linear estimates combined with fractional Gagliardo-Nirenberg inequality. We find the so-called (p1 ´ p2 ´ p3) planes for the global (in time) existence. Moreover, from the interaction between the parameters m1, m2, m3 ϵ [1, 2) in one hand and σ1, σ2, σ3 ≥ 1 in the other hand. We proved lower bounds for powers nonlinearities similarly to the modified Fujita exponent, which are in the form of planes (p1´p2), (p1´p3) and (p2´p3).
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
14Sayı
2Bağlantı
https://hdl.handle.net/11729/5974https://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1220
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