Error estimate in operator norm of exponential product formulas for propagators of parabolic evolution equations

zbMath0924.35052MaRDI QIDQ1282232

Takashi Ichinose, Hideo Tamura

Publication date: 13 September 1999

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

propagatorselfadjoint operatorproduct approximationtime dependent singular potentials

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) Second-order parabolic equations (35K10)

Related Items (13)

A general Trotter--Kato formula for a class of evolution operators ⋮ A generalization of Chernoff's product formula for time-dependent operators ⋮ Non-Autonomous Dynamics and Product Formula Approximation of Solution Operator ⋮ Product approximations of solution operators for non‐autonomous perturbations of Gibbs semigroups ⋮ Approximation formula for a propagator in symmetrically normed ideals ⋮ Trotter--Kato product formula and fractional powers of self-adjoint generators. ⋮ A Trotter--Kato product formula for a class of non-autonomous evolution equations ⋮ Product approximations for solutions to a class of evolution equations in Hilbert space ⋮ Error bounds on the Trotter-Kato product formula of relativistic Schrödinger operators with electromagnetic fields ⋮ Product formulae for non-autonomous Gibbs semigroups ⋮ A remark on operator-norm convergence of Trotter-Kato product formula ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound ⋮ Some remarks on operator-norm convergence of the Trotter product formula on Banach spaces.

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