NUMERICAL solutions to partial differential equations, SET theory, ESTIMATES, SCHRODINGER operator, POTENTIAL theory (Mathematics), MATHEMATICS, GROUP theory
Abstract
This paper is concerned with the L- L estimates of the solutions for a class of pseudodifferential equations under some suitable degenerate assumptions. As applications, these estimates can be used to show that a generalized Schrödinger operator with some integrable potential generates a fractionally integrated group in L(ℝ). [ABSTRACT FROM AUTHOR]