Nonlinear elliptic systems with dynamic boundary conditions.
Global existence and nonexistence for semiliniear parabolic systems with nonlinear boundary conditions.
The Dirichlet-Neumann operator on continuous functions
Analyticity of the interface in a free boundary problem.
Global existence and blow-up for a shallow water equation
Initial boundary value problems of the Degasperis-Procesi equation
We mainly study initial boundary value problems for the Degasperis-Procesi equation on the half line and on a compact interval. By the symmetry of the equation, we can convert these boundary value problems into Cauchy problems on the line and on the circle, respectively. Applying thus known results for the equation on the line and on the circle, we first obtain the local well-posedness of the initial boundary value problems. Then we present some blow-up and global existence results for strong solutions....
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