Research Plan
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Recent Research Papers
The Method of Layer Potentials for the Heat Equation in Time
Varying Domains
with Margaret Murray
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The Dirichlet Problem for Parabolic
Operators with Singular Drift Terms with Steve Hofmann
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The L^p Regularity Problem for the Heat Equation in
Non-cylindrical Domains
with Steve Hofmann
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On the L^p Neumann and Regularity Problems for the Heat Equation in
Non-cylindrical Domains
with Steve Hofmann
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Higher Integrability for Parabolic Systems of p Laplacian Type
with Juha Kinnunen
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Operators with Drift terms,
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Very Weak Solutions of Parabolic Systems of p Laplacian Type
with Juha Kinnunen
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On Pseudospheres that are Quasispheres
with Andy Vogel
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Square Functions of Calder\'{o}n Type and Applications
with Steve Hoffman
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On the Singular Set in the Navier-Stokes Equations
with Hi Jun Choe
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The L^p Neumann problem for the heat equation in
non-cylindrical domains with Steve Hofmann
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On the analyticity of Kato's square root operators
with Pascal Auscher, Steve Hofmann, Philippe Tchamitchian
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A symmetry theorem revisited
with Andrew Vogel
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Existence of big pieces of graphs for parabolic problems
with Steve Hofmann and Kaj Nystrom
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Caloric measure in parabolic flat domains
/em> with Steve Hofmann and Kaj Nystrom
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On Wolff Snowflakes.
with Gregory C. Verchota and Andrew L. Vogel
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Spectral properties of parabolic layer potentials and
transmission boundary problems in nonsmooth domains.
with Steve Hofmann and Marius Mitrea
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Symmetry Problems and Uniform Rectifiability,
with Andrew L. Vogel
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On weak reverse H\"{o}lder inequalities for nondoubling
harmonic measures
with Bjorn Bennewitz
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On symmetry and uniform rectifiability arising
from some overdetermined elliptic and parabolic boundary
conditions
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On the dimension of p harmonic measure
with Bjorn Bennewitz
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Uniqueness in a free boundary problem
with Andrew L. Vogel
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Note on p harmonic measure
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On a parabolic symmetry problem
with Kaj Nystrom
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Boundary behaviour for p harmonic functions in Lipschitz
and starlike Lipschitz ring domains
with Kaj Nystrom
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New results for $p$ harmonic functions,
with Kaj Nystrom
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The boundary Harnack inequality for infinity harmonic functions
in the plane,
with Kaj Nystrom
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Boundary behaviour and the Martin boundary problem for
$p$ harmonic functions in Lipschitz domains,
with Kaj Nystrom
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Regularity and free boundary regularity for the $p$
Laplacian in Lipschitz and $ C^1 $ Domains,
with Kaj Nystrom
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Boundary behavior of $p$ harmonic functions in domains
beyond Lipschitz domains
with Kaj Nystrom
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Boundary Harnack inequalities for operators of $p$ Laplace
type in Reifenberg Flat domains,
with Kaj Nystrom
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