论文信息 - Diffusions and Elliptic Operators - 字舞流文

Diffusions and Elliptic Operators

Stochastic Differential Equations.- Representations of Solutions.- Regularity of Solutions.- One-dimensional Diffusions.- Nondivergence form Operators.- Martingale Problems.- Divergence Form Operators.- The Malliavin Calculus.

[1] J. Moser. On Harnack's theorem for elliptic differential equations† , 1961 .

[2] E. Stein. Singular Integrals and Di?erentiability Properties of Functions , 1971 .

[3] J. Moser. On a pointwise estimate for parabolic differential equations , 1971 .

[4] Sidney C. Port,et al. Brownian Motion and Classical Potential Theory , 1978 .

[5] J. Bismut. Martingales, the Malliavin calculus and hypoellipticity under general Hörmander's conditions , 1981 .

[6] D. Stroock,et al. The $L^p$-integrability of Green’s functions and fundamental solutions for elliptic and parabolic equations , 1984 .

[7] M. Yor,et al. Continuous martingales and Brownian motion , 1990 .

[8] The Martingale Problem for a Differential Operator with Piecewise Continuous Coefficients , 1993 .

[9] R. Bass. Probabilistic Techniques in Analysis , 1994 .

[10] Z. Zhao,et al. On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions , 1994 .