Global existence and blow up of solutions for pseudo-parabolic equation with singular potential

By Wei-Cheng Lian, Juan Wang, Runzhang Xu. Journal of Differential Equations, 2020

126 citations recorded by the source corpus.

Abstract We consider the initial boundary value problem of pseudo-parabolic equation with singular potential. We obtain global existence, asymptotic behavior and blowup of solutions with initial energy J ( u 0 ) ≤ d . Moreover, we estimate the upper bound of the blowup time for J ( u 0 ) 0 and 0 J ( u 0 ) d respectively. Finally, we prove the finite time blowup and estimate the upper bound of the blowup time for the high energy level, i.e., J ( u 0 ) > 0 .

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/c58aa96f3a8210889eaf24c8a93c41712b3fe7d3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Vo Van Au
2. Nguyen Huy Tuan
3. Runzhang Xu

In Computational Theory and Mathematics

1. Nguyen Huy Tuan
2. Runzhang Xu

In Control and Systems Engineering

1. Vo Van Au
2. Nguyen Huy Tuan
3. Runzhang Xu

Citations in the corpus

• Semilinear Caputo time-fractional pseudo-parabolic equations (2021, background): “Form > 0 and α = 1, the main equations in two problems (P1) and (P2) are called pseudo-parabolic equations, which describe many physical processes, for example, the leakage of liquid through cracks in rocks or materials [59, 14], the unidirectional propagation of nonlinear, dispersive, long waves [3”