%% Papers Accepted
@article{fds13521,
Author = {Andrea L. Bertozzi and John B. Greer},
Title = {Low curvature image simplifiers: global regularity of smooth
solutions and Laplacian limiting schemes},
Journal = {Comm. Pure Appl. Math., submitted 2003},
url = {http://www.math.duke.edu/~jbg33/lcis.ps},
Key = {fds13521}
}
@article{fds10219,
Author = {John B. Greer and Andrea L. Bertozzi},
Title = {H^1 Solutions of a Class of Fourth Order Nonlinear Equations
for Image Processing},
Journal = {Journal of Discrete and Continuous Dynamical
Systems},
url = {http://www.math.duke.edu/~jbg33/fourthorder.ps},
Abstract = {Recently fourth order equations of the form u_t =
\nabla\cdot(({\mathcal G}(J_\sigma u)) \nabla \Delta u)
have been proposed for noise reduction and simplification of
two dimensional images. The operator \mathcal G is a
nonlinear functional involving the gradient or Hessian of
its argument, with decay in the far field. The operator
J_\sigma is a standard mollifier. Using ODE methods on
Sobolev spaces, we prove existence and uniqueness of
solutions of this problem for H^1 initial
data.},
Key = {fds10219}
}
%% Papers Submitted
@article{fds10475,
Author = {J. B. Greer and A. L. Bertozzi},
Title = {Traveling Wave Solutions of Fourth Order PDES for Image
Processing},
url = {http://www.math.duke.edu/~jbg33/paper/tw.ps},
Key = {fds10475}
}
