Computation and Applied Mathematics

algorithm Applied Mathematics approximate controllability assume assumption asymptotic asymptotic stability BBL-condition bilinear control boundary conditions boundary stabilization boundary value problem bounded cable Ciarlet compute consider converges to zero convex Corollary decay rate defined denote Dirichlet discrete distributed parameter systems domain electromagnetic estimate exact controllability exists a constant exponentially FBSDE feedback function given Glowinski heat equation Hence Hilbert space holds implies inequality initial data J.L. Lions Jacques-Louis Lions Korteweg-de Vries equation Korteweg-de Vries-Burgers equation Lemma linear Math Mathematical subject classification maximum principle Moreover nonlinear norm null controllability numerical obtain optimal control optimal control problems Partial Differential Equations positive constant Pressure vs depth Problem SLQ proof of Theorem Proposition prove regularization result satisfies SBMAC semilinear sequence solvable solve system 38 Theorem 1.1 unique solution variational wave equation weak solution weakly Zuazua