Interior Regularity for Weak Solutions of Ultraparabolic Equations in Divergence Form with Discontinuous Coefficients

Bollettino della Unione Matematica Italiana B

Volumn , Issue 3, 1998, Pages 651-675

  Manfredini, Maria ^a   Polidoro, Sergio ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346410113     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. p solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients, Comm. Partial Differential Equations, 18 (1993), 1735-1763.
2. p estimates for some ultraparabolic operators with discontinuous coefficients, J. Math. Anal. Appl., 200 (1996), 332-354.
3. p estimates for non divergence elliptic equations with discontinuous coefficients, Ricerche Mat., 40 (1991), 149-168.
4. p estimates for divergence form elliptic equations with discontinuous coefficients, Boll. Un. Mat. Ital. A (7), 10 (1996), 409-420.
5. E. B. FABES - N. M. RIVIÈRE, Singular integrals with mixed homogeneity, Studia Math., 27 (1966), 19-38.
6. E. LANCONELLI - S. POLIDORO, On a class of hypoelliptic evolution operators, Rend. Sem. Mat. Univ. Politec. Torino, 52 (1994), 29-63.
7. M. MANFREDINI, The Dirichlet problem for a class of ultraparabolic equations, to appear on Differential Integral Equations.
8. J. MOSER, A Harnack inequality for parabolic differental equations, Comm. Pure Appl. Math., 17 (1964), 101-134, and correction in Comm. Pure Appl. Math., 20 (1967), 231-236.
9. J. MOSER, A Harnack inequality for parabolic differental equations, Comm. Pure Appl. Math., 17 (1964), 101-134, and correction in Comm. Pure Appl. Math., 20 (1967), 231-236.
10. J. NASH, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math., 80 (1958), 931-954.
11. S. POLIDORO, On a class of ultraparabolic operators of Kolmogorov-Fokker-Planck type, Le Matematiche, 49 (1994), 53-105.
12. S. POLIDORO, A global lower bound for the fundamental solution of Kolmogorov-Fokker-Planck equations, Arch. Rational Mech. Anal., 137 (1997), 321-340.
13. S. POLIDORO, Uniqueness and representation theorems for solutions of Kolmogorov-Fokker-Planck equations, Rend. Mat. Appl. (7), 15 (1995), 535-560.
14. E. M. STEIN, Armonic Analysis: Real Variable Methods, Orthogonality and Oscillatory Integrals, Princeton Univ. Press, Princeton, New Jersey, 1993.
15. G. B. FOLLAND, Subelliptic estimates and function spaces on nilpotent Lie groups, Arkiv for Math., 13 (1975), 161-207.