Gaussian estimates and instantaneous blowup


For L a second order linear elliptic differential operator on ℝN, one is usually interested in finding positive solutions of the heat equation u\t = Lu+Vu, where V is a nonnegative potential. But for L the Laplacian, it was discovered by [BG] in 1984 that positive solutions may not exist if V is too singular. We use Gaussian estimates to extend this result to the case when L is not symmetric. © 2007 Birkhäuser Verlag Basel/Switzerland.

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