The Kolmogorov equation with time-measurable coefficients

Using both probabilistic and classical analytic techniques, we investigate the parabolic Kolmogorov equation $$ L_t v +frac {partial v}{partial t}equiv frac 12 a^{ij}(t)v_{x^ix^j} +b^i(t) v_{x^i} -c(t) v+ f(t) +frac {partial v}{partial t}=0 $$ in $H_T:=(0,T) imes E_d$ and its solutions when the coef...

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Bibliographic Details
Main Author: Jay Kovats
Format: Article
Language:English
Published: Texas State University 2003-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/77/abstr.html