Maximum principles for boundary-degenerate linear parabolic differential operators

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Feehan, Paul M. N.;
  • Subject: Primary 35B50, 35B51, 35K65, secondary 35D40, 35K85, 60J60 | Mathematics - Probability | Mathematics - Analysis of PDEs

We develop weak and strong maximum principles for boundary-degenerate, linear, parabolic, second-order partial differential operators, $Lu := -u_t-\tr(aD^2u)-\langle b, Du\rangle + cu$, with \emph{partial} Dirichlet boundary conditions. The coefficient, $a(t,x)$, is ass... View more
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