Null controllability of the complex Ginzburg-Landau equation
Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain
In this paper, we study a class of Initial-Boundary Value Problems proposed by Colin and Ghidaglia for the Korteweg-de Vries equation posed on a bounded domain (0). We show that this class of Initial-Boundary Value Problems is locally well-posed in the classical Sobolev space (0) for > -3/4, which provides a positive answer to one of the open questions of Colin and Ghidaglia [6 (2001) 1463–1492].
Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane
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