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.
Transactions of the American Mathematical Society
Baras, P., & Goldstein, J. (1984). The heat equation with a singular potential. Transactions of the American Mathematical Society, 284 (1), 121-139. https://doi.org/10.1090/S0002-9947-1984-0742415-3