A Probabilistic Approach to Bounded/positive Solutions for Schrödinger Operators with Certain Classes of Potentials
نویسنده
چکیده
Consider the equation (∗) 1 2 ∆u− V u = 0 in R, for d ≥ 3. For certain classes of potentials V , we use probabilistic tools to study the bounded solutions and the positive solutions for (*). A primary motivation is to offer probabilistic intuition for the results.
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تاریخ انتشار 2008