On the uniqueness of initial boundary value problems for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions
Trudy Instituta matematiki, Tome 25 (2017) no. 2, pp. 60-69

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We consider initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions and nonnegative initial data. We prove uniqueness and uniqueness of solutions.
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     author = {A. I. Nikitin},
     title = {On the uniqueness of initial boundary value problems for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions},
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A. I. Nikitin. On the uniqueness of initial boundary value problems for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions. Trudy Instituta matematiki, Tome 25 (2017) no. 2, pp. 60-69. http://geodesic.mathdoc.fr/item/TIMB_2017_25_2_a5/