Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls

Parabolic evolution equations and nonlinear boundary conditions

Herbert Amann · Journal of Differential Equations · 1988 · 256 citations

Natural Sciences, Mathematics, Differential Equations +12

Unified theory for abstract parabolic boundary problems?a semigroup approach

Irena Lasiecka · Applied Mathematics & Optimization · 1980 · 196 citations

Natural Sciences, Mathematics, Physics +13

Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality

A. D. Ioffe · SIAM Journal on Control and Optimization · 1979 · 180 citations

Natural Sciences, Mathematics, Cost-minimization Analysis +16

Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems

Kazimierz Malanowski · Applied Mathematics & Optimization · 1982 · 154 citations

Natural Sciences, Decision Sciences, Optimization +9

Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations

James H. Bramble, A. H. Schatz, Vidar Thomée et al. · SIAM Journal on Numerical Analysis · 1977 · 149 citations

Computing, Computational Engineering, Finite Element Analysis +16