A Condition for Finite Blow-up Time for a Volterra Integral Equation
β Scribed by W. Mydlarczyk
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 143 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We give new finite time blow-up results for the non-linear parabolic equations u, -Au = up and u, -Au + pIVul4 = up. We first establish an a priori bound in Lpf ' for the positive non-decreasing global solutions. As a consequence, we prove in particular that for the second equation on RN, with q = 2
In this paper, we consider the blow-up properties of the radial solutions of the nonlocal parabolic equation with homogeneous Dirichlet boundary condition, where Ξ», p > 0, 0 < Ξ± β€ 1. The criteria for the solutions to blow-up in finite time is given. It is proved that the blow-up is global and unifo