Differential and Integral Equations

Elliptic problems with unbounded drift coefficients and Neumann boundary condition

Viorel Barbu and Giuseppe Da Prato

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A linear elliptic equation with Neumann boundary conditions and unbounded drift coefficients is studied. The existence and uniqueness results are used to characterize the infinitesimal generator of the transition semigroup associated with a stochastic variational inequality.

Article information

Differential Integral Equations, Volume 16, Number 7 (2003), 829-840.

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J25: Boundary value problems for second-order elliptic equations
Secondary: 47D07: Markov semigroups and applications to diffusion processes {For Markov processes, see 60Jxx} 47H06: Accretive operators, dissipative operators, etc.


Barbu, Viorel; Da Prato, Giuseppe. Elliptic problems with unbounded drift coefficients and Neumann boundary condition. Differential Integral Equations 16 (2003), no. 7, 829--840. https://projecteuclid.org/euclid.die/1356060599

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