Proves that Lévy-driven linear equations p(D)s = q(D)ḊL admit measurable solutions in Besov spaces and that semilinear versions p(D)u = g(·,u) + ḊL have measurable solutions in weighted Besov spaces when g is Lipschitz.
Kaneko, Liouville type theorem for solutions of linear partial diffe rential equations with constant coefficients, Annales Polonici Mathematici 74 (2000), 143-159
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L\'{e}vy driven linear and semilinear stochastic partial differential equations
Proves that Lévy-driven linear equations p(D)s = q(D)ḊL admit measurable solutions in Besov spaces and that semilinear versions p(D)u = g(·,u) + ḊL have measurable solutions in weighted Besov spaces when g is Lipschitz.