On blow-up set of solutions of initial boundary value problem for a system of parabolic equations with nonlocal boundary conditions
We consider a system of semilinear parabolic equations ut = Δг + с1(x,t)vp, vt = Δv + c2(x,t)uq, (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary conditions ∂u/∂η = ∫k1(x,y,t)um(y,t)dy, ∂v/∂η = ∫Ωk2(x,y,t)vn(y,t)dy, (x,t) ∈ ∂Ω × (0,+∞) and initial data u(x,0) = u0(x), v(x,0) = v0(x), x ∈ Ω, where...
| Main Authors: | , |
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| Format: | Article |
| Language: | Belarusian |
| Published: |
Belarusian State University
2019-01-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
| Subjects: | |
| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/780 |