References
- Bertoldi M , Lorenzi L . Analytical methods for Markov semigroups. Boca Raton, FL: Chapman & Hall/CRC; 2007.
- Goldstein GR , Goldstein J , Rhandi A . Weighted Hardy’s inequality and the kolmogorov equation perturbed by an inverse-square potential. Appl Anal. 2012;91(11):2057–2071.
- Goldstein GR , Goldstein J , Rhandi A . Kolmogorov equations perturbed by an inversesquare potential. Discrete Contin Dyn Syst Ser S. 2011;4(3):623–630.
- Aronson DG . Non-negative solutions of linear parabolic equations. Ann Scuola Norm Sup Pisa. 1968;22:607–694.
- Baras P , Goldstein J . The heat equation with singular potential. Trans Amer Math Soc. 1984;284:121–139.
- Cabré X , Martel Y . Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier. CR Acad Sci Paris. 1999;329:973–978.
- Canale A , Pappalardo F . Weighted Hardy inequalities and Ornstein-Uhlenbeck type operators perturbed by multipolar inverse square potential. arXiv: submit/1942648; 2017 Jun 7.
- Albanese A , Lorenzi L , Mangino E . Lp –uniqueness for elliptic operators with unbounded coefficients. J Funct Anal. 2009;256:1238–1257.
- Tölle J . Uniqueness of weighted Sobolev spaces with weakly differentiable weights. J Funct Anal. 2012;263:3195–3223.
- Engel K , Nagel R . One-parameter semigroups for linear evolution equations. New York (NY): Springer-Verlag; 2000.
- Fukushima M , Oshima Y , Takeda M . Dirichlet forms and symmetric markov processes. Berlin: Walter de Gruyter & Co; 2011.
- Ladyz’enskaya O , Solonnikov V , Ural’tseva N . Linear and quasilinear equations of parabolic type. Provence, R.I.: American Mathematical Society; 1968.
- Brezis H , Vázquez JL . Blowup solutions of some nonlinear elliptic problems. Revista Mat Univ Complutense Madrid. 1997;10:443–469.
- Musina R . A note on the paper optimizing improved Hardy inequalities by S. Filippas and A. Tertikas. J Funct Anal. 2009;256:2741–2745.
- Adimurthi A , Nirmalendu C , Ramaswamy M . An improved Hardy-Sobolev inequality and its application. Proc Amer Math Soc. 2002;130:489–505.