H
associated with Dirichlet forms and complex locally integrable V with negative real part in the Kato class we construct an extension of H + V which generates a C 0-semigroup on L p for p Epsilon [1,infinity) and prove the continuity of the semigroup with respect to V.
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Liskevich, V., Stollmann, P. Schrödinger Operators with Singular Complex Potentials as Generators: Existence and Stability. SemiGroup Forum 60, 337–343 (2000). https://doi.org/10.1007/s002339910027
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DOI: https://doi.org/10.1007/s002339910027