In this paper we consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann boundary condition. We prove comparison principle, the existence theorem of a local solution and study the problem of uniqueness and nonuniqueness.
Blow-up of solutions for a semilinear parabolic equation with nonlinear memory and absorption under nonlinear nonlocal boundary condition
Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition
Well-posedness of initial boundary value problem for a Navier-Stokes/$Q$-tensor coupled system with anisotropic elasticity energy
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