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Abstract We consider the family of second order elliptic operators L = Δ + ( a − 1 ) ∑ i , j = 1 N x i x j… Click to show full abstract
Abstract We consider the family of second order elliptic operators L = Δ + ( a − 1 ) ∑ i , j = 1 N x i x j | x | 2 D i j + c x | x | 2 ⋅ ∇ − b | x | 2 , a > 0 , b , c ∈ R , which includes the Schrodinger operator with inverse square potential, and we prove optimal upper bounds for the heat kernel.
Keywords:
estimates elliptic;
kernel estimates;
second order;
optimal kernel;
elliptic operators
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!