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In this paper we consider the Cauchy problem for the pseudo-parabolic equation: $$\begin{aligned} \dfrac{\partial }{\partial t} \left( u + \mu (-\Delta )^{s_1} u\right) + (-\Delta )^{s_2} u = f(u),\quad x… Click to show full abstract
In this paper we consider the Cauchy problem for the pseudo-parabolic equation: $$\begin{aligned} \dfrac{\partial }{\partial t} \left( u + \mu (-\Delta )^{s_1} u\right) + (-\Delta )^{s_2} u = f(u),\quad x \in \Omega ,~ t>0. \end{aligned}$$ ∂ ∂ t u + μ ( - Δ ) s 1 u + ( - Δ ) s 2 u = f ( u ) , x ∈ Ω , t > 0 . Here, the orders $$s_1, s_2$$ s 1 , s 2 satisfy $$0
Keywords:
well posedness;
pseudo parabolic;
posedness nonlinear;
parabolic equation
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2020
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Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!