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References
M. Bramanti, M.C. Cerutti, W 1,2p Solvability for the Cauchy-Dirichlet Problem for Parabolic Equations with VMO coefficients, Comm. in Partial Differential Equations 18(9 and 10) (1993), 1735–1763.
F. Chiarenza, M. Frasca, P. Longo, Interior W 2,p estimates for nondivergence elliptic equations with discontinuous coefficients, Ricerche di Mat. 40 (1991), 149–168.
F. Chiarenza, M. Frasca, P. Longo, W 2,p-solvability of the Dirichlet problem for non divergence elliptic equations with VMO coefficients, Trans. Amer. Math. Soc. 336 (1993), 841–853.
G. Di Fazio, L p estimates for divergence form elliptic equations with discontinuous coefficients, Bollettino U.M.I. (7) 10-A (1996), 409–420.
E. Fabes, N. Riviere, Singular integrals with mixed homogeneity, Studia Math. 27 (1966), 19–38.
F. John, L. Nirenberg, On functions of bounded mean oscillation, Commun. Pure Appl. Math. 14 (1961), 415–426.
D. Palagachev, M.A. Ragusa, L. Softova, Cauchy-Dirichlet problem in Morrey spaces for parabolic equations with discontinuous coefficients, B. U.M.I. (8) 6-B (2003), 667–675
M.A. Ragusa, Dirichlet problem associated to divergence form parabolic equations, preprint.
D. Sarason, On functions of vanishing mean oscillation, Trans. Amer. Math. Soc. 207 (1975), 391–405.
E.M. Stein Armonic Analysis: Real Variable methods, orthogonality and oscillatory integrals, Princeton Univ. Press, Princeton, New Jersey, 1993.
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Ragusa, M.A. (2005). Hölder Regularity Results for Solutions of Parabolic Equations. In: Giannessi, F., Maugeri, A. (eds) Variational Analysis and Applications. Nonconvex Optimization and Its Applications, vol 79. Springer, Boston, MA. https://doi.org/10.1007/0-387-24276-7_53
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DOI: https://doi.org/10.1007/0-387-24276-7_53
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