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From the 1 of 769 papers with an AI index.
29.3k citations
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Showing 2012 · math.APShow all
3 papers · 2 filters
math.AP2012★ 2 cited
On the existence of smooth solutions for fully nonlinear parabolic equations with measurable "coefficients" without convexity assumptions
Hongjie Dong, Nicolai V. Krylov
We show that for any uniformly parabolic fully nonlinear second-order equation with bounded measurable "coefficients" and bounded "free" term in any cylindrical smooth domain with…
math.AP2012
Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains
Peter Polacik, Susanna Terracini
We consider a semilinear elliptic equation on a smooth bounded domain $\Om$ in , assuming that both the domain and the equation are invariant under reflections about one of t…
math.AP2012★ 5 cited
Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators
Steve Hofmann, Carlos Kenig, Svitlana Mayboroda +1
We consider divergence form elliptic operators L = - div A(x)\nabla, defined in the half space R^{n+1}_+, n \geq 2, where the coefficient matrix A(x) is bounded, measurable, unifor…