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Hölder continuity of solutions of parabolic quasivariational inequalities of impulse control. (Russian) Zbl 0895.49018

Summary: For arbitrary generalized solutions of parabolic problems of impulse control, an estimate for the Hölder norm of solutions, satisfying the boundary Dirichlet condition, has been determined. This has been established under the same assumptions as for classical problems.

MSC:

49N25 Impulsive optimal control problems
49J40 Variational inequalities
35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators
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