Get started
Keyword

gradient estimates

Description: Mathematical bounds on derivatives of solutions to differential equations, often used to study regularity and behavior of those solutions.
OpenAlex ID: keywords/gradient-estimates
On the parabolic kernel of the Schrödinger operator
1986 · Peter Li, Shing Tung Yau · Acta Mathematica · 1,446
PDF
An $L^p$ -estimate for the gradient of solutions of second order elliptic divergence equations
1963 · Norman G. Meyers · French digital mathematics library (Numdam) · 584
Gradient estimates for the p ( x )-Laplacean system
2005 · Emilio Acerbi, Giuseppe Mingione · Journal für die reine und angewandte Mathematik (Crelles Journal) · 415
Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients
2000 · Yan Yan Li, Michael Vogelius · Archive for Rational Mechanics and Analysis · 291
Hölder estimates for nonlinear degenerate parabolic sytems.
1985 · Emmanuele DiBenedetto, Avner Friedman · Journal für die reine und angewandte Mathematik (Crelles Journal) · 279
On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems
1993 · E. DiBenedetto, J. Manfredi · American Journal of Mathematics · 266
Gradient estimates via non-linear potentials
2011 · Frank Duzaar, Giuseppe Mingione · American Journal of Mathematics · 248
PDF
Gradient estimates below the duality exponent
2009 · Giuseppe Mingione · Mathematische Annalen · 237
Hessian Measures II
1999 · Neil S. Trudinger, Xu-Jia Wang · Annals of Mathematics · 223
Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds
2006 · PHILIPPE SOUPLET, QI S. ZHANG · Bulletin of the London Mathematical Society · 207
PDF
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations
2005 · Cheng He, Zhouping Xin · Journal of Functional Analysis · 206
Gradient estimates via linear and nonlinear potentials
2010 · Frank Duzaar, Giuseppe Mingione · Journal of Functional Analysis · 174
Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels
2008 · Peter W. Jones, Mauro Maggioni, et al. · Proceedings of the National Academy of Sciences · 148
Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
2006 · Li Ma · Journal of Functional Analysis · 148
Gradient Estimates and Blow-Up Analysis for Stationary Harmonic Maps
1999 · Fang-Hua Lin · Annals of Mathematics · 145
PDF
Distribution dependent SDEs with singular coefficients
2018 · Xing Huang, Feng-Yu Wang · Stochastic Processes and their Applications · 143
Oblique Derivative Problems for Elliptic Equations
2012 · Gary M Lieberman · WORLD SCIENTIFIC eBooks · 142
Analysis of weighted Laplacian and applications to Ricci solitons
2012 · Ovidiu Munteanu, Jiaping Wang · Communications in Analysis and Geometry · 142
PDF
Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
2012 · CHÉRIF AMROUCHE, NOUR EL HOUDA SELOULA · Mathematical Models and Methods in Applied Sciences · 135
Gradient Estimates for the Perfect Conductivity Problem
2008 · Ellen Shiting Bao, Yan Yan Li, et al. · Archive for Rational Mechanics and Analysis · 135
PDF
Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities
1996 · S. Semmes · Selecta Mathematica · 131
Smooth metric measure spaces with non-negative curvature
2011 · Ovidiu Munteanu, Jiaping Wang · Communications in Analysis and Geometry · 129
PDF
Lecture notes on geometric analysis
1993 · Peter Li · 128
Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
2008 · Yunyan Yang · Proceedings of the American Mathematical Society · 127
PDF
Harmonic functions with polynomial growth
1997 · Tobias H. Colding, William P. Minicozzi, II · Journal of Differential Geometry · 120
Works count: 2,099
Citation count: 24,030
Year
Topic
Type