Advances in Mathematical Sciences and Applications, Volume 2Gakkōtosho, 1993 - Mathematical analysis |
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a₁ absolutely continuous Advances in Mathematical Applications Gakkōtosho assume assumptions asymptotic Banach space boundary conditions bounded C₁ Cauchy problem compact consider continuous function converges convex convex set Corollary defined denote Dept differential equations domain estimate finite free boundary given H¹(N Hence Hilbert space Hölder continuous holds hysteresis implies integral Japan L²(N linear Lipschitz continuous Math Mathematical Sciences method minimizer Moreover Morse semiflow nonlinear norm obtain optimal control positive constant proof of Theorem Proposition prove respectively satisfies Sciences and Applications sequence stability T-ar t₁ Theorem 1.2 Tokyo Um+1 uniformly unique solution unitary operator Univ ux(t v₁ value problem variational inequality viscosity viscosity solutions Young's inequality zero