• Research Plan Postscript File
• # Research Papers

• The Method of Layer Potentials for the Heat Equation in Time Varying Domains with Margaret Murray Postscript File
• The Dirichlet Problem for Parabolic Operators with Singular Drift Terms with Steve Hofmann Postscript File
• The L^p Regularity Problem for the Heat Equation in Non-cylindrical Domains with Steve Hofmann Postscript file
• On the L^p Neumann and Regularity Problems for the Heat Equation in Non-cylindrical Domains with Steve Hofmann Postscript file
• Higher Integrability for Parabolic Systems of p Laplacian Type with Juha Kinnunen Postscript file
• Weak Solutions of Parabolic Systems of p Laplacian Type with Juha Kinnunen Postscript file
• On Pseudospheres that are Quasispheres with Andy Vogel Postscript file
• Square Functions of Calder\'{o}n Type and Applications with Steve Hoffman Postscript file
• On the Singular Set in the Navier-Stokes Equations with Hi Jun Choe Postscript file
• The L^p Neumann problem for the heat equation in non-cylindrical domains with Steve Hofmann Postscript file
• On the analyticity of Kato's square root operators with Pascal Auscher, Steve Hofmann, Philippe Tchamitchian Postscript file
• A symmetry theorem revisited with Andrew Vogel Postscript file
• Existence of big pieces of graphs for parabolic problems with Steve Hofmann and Kaj Nystrom Postscript File
• Caloric measure in parabolic flat domains /em> with Steve Hofmann and Kaj Nystrom Postscript File
• On Wolff Snowflakes. with Gregory C. Verchota and Andrew L. Vogel Postscript File
• Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains. with Steve Hofmann and Marius Mitrea Postscript File
• Symmetry Problems and Uniform Rectifiability, with Andrew L. Vogel Postscript File
• On weak reverse H\"{o}lder inequalities for nondoubling harmonic measures with Bjorn Bennewitz Postscript File
• On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions Postscript File
• On the dimension of p harmonic measure with Bjorn Bennewitz Postscript File
• Uniqueness in a free boundary problem with Andrew L. Vogel Postscript File
• Note on p harmonic measure Postscript File
• On a parabolic symmetry problem with Kaj Nystrom Postscript File
• Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains with Kaj Nystrom Postscript File
• New results for \$p\$ harmonic functions, with Kaj Nystrom Postscript File
• The boundary Harnack inequality for infinity harmonic functions in the plane, with Kaj Nystrom Postscript File
• Boundary behaviour and the Martin boundary problem for \$p\$ harmonic functions in Lipschitz domains, with Kaj Nystrom Postscript File
• Regularity and free boundary regularity for the \$p\$ Laplacian in Lipschitz and \$ C^1 \$ Domains, with Kaj Nystrom Postscript File
• Boundary behavior of \$p\$ harmonic functions in domains beyond Lipschitz domains with Kaj Nystrom Postscript File
• Boundary Harnack inequalities for operators of \$p\$ Laplace type in Reifenberg Flat domains, with Kaj Nystrom and Niklas Lundstrom Pdflatex File
• Regularity of Lipschitz free boundaries in two phase problems for the \$p\$ Laplacian with Kaj Nystrom Pdflatex File
• Regularity of flat free boundaries in two phase problems for the \$p\$ Laplace operator with Kaj Nystrom Pdflatex File
• p Harmonic functions in simply connected domains with Kaj Nystrom and Pietro Poggi Corradini Pdflatex File
• Cime lecture notes on p harmonic functions Pdflatex File
• Boundary integral operators and boundary value problems for Laplace's equation with TongKeun Chang Pdflatex File
• \$p\$ harmonic measure in space with Kaj Nystrom and Andrew Vogel Pdflatex File
• Regularity and free boundary regularity for the p - Laplace operator in Reifenberg flat and Ahlfors regular domains with Kaj Nystrom Pdflatex File
• On the logarithm of the minimizing integrand for certain variational problems in two dimensions with Murat Akman and Andrew Vogel appeared in Analysis and Mathematical Physics (23) Springer Link or Pdflatex File
• p harmonic measeure in simply connected domains revisited Pdflatex File
• Gradient bounds for p-harmonic systems with vanishing Neumann data in a convex domain. with Agnid Banerjee Pdflatex File
• Hausdorff dimension and sigma finiteness of p harmonic measures when \$ p \geq n \$ . with Murat Akman and Andrew Vogel Pdflatex File
• Quasi-linear PDE's and low dimensional sets with Kaj Nystrom Pdflatex File
• Sigma finiteness and Hausdorff dimension of a certain Borel measure associated with a positive weak solution to a quasilinear elliptic pde in space with Murat Akman and Andrew Vogel Pdflatex File
• On p Laplace Polynomial Solutions with Andrew Vogel Pdflatex File
• The Brunn Minkowski inequality and a Minkowski problem for nonlinear capacity, with Murat Akman, Jasun Gong, Jay Hineman, Andrew Vogel Pdflatex File