The heat equation with a singular potential


Of concern is the singular problem (formula present) and its generalizations. Here c (formula present) and/and w0 are nonnegative and not both identically zero. There is a dimension dependent constant C∗(N) such that the problem has no solution for (formula present) necessary and sufficient conditions are found for/and u0 so that a nonnegative solution exists. © 1984 American Mathematical Society.

Publication Title

Transactions of the American Mathematical Society