Abstract
This article presents necessary conditions for the existence of weak solutions of the following space-nonlocal evolution equations on H × (0,+∞), where H is the Heisenberg group: (Formula Presented) p ∈ ℝ, p > 1, m ∈ ℕ. Moreover, the life span for each equation is estimated under some suitable conditions. Our method of proof is based on the test function method.
Original language | British English |
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Article number | 227 |
Journal | Electronic Journal of Differential Equations |
Volume | 2015 |
State | Published - 2 Sep 2015 |
Keywords
- Blowing-up solutions
- Damping
- Nonlinear hyperbolic equations
- Nonlinear parabolic equations
- Nonlocal operators