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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2014, Volume 411, Issue 2, pp. 947 - 952
Our aim is to estimate the second order horizontal derivatives of the solutions for a nondivergence form subelliptic equationa(x,u,Xu,X2u)=f(x). 
Cordes condition | Subelliptic equation
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 03/2018, Volume 87, Issue 310, pp. 515 - 545
Journal Article
Advances in Nonlinear Analysis, ISSN 2191-9496, 05/2018, Volume 7, Issue 2, pp. 139 - 148
In the very recent paper [ ], the second author proved that for any , the fully nonlinear first order system is well posed in the so-called J. L. Lions space... 
Baire category method | 35J60 | elliptic first order systems | Cauchy–Riemann equations | 35J47 | 35J46 | compensated compactness | convex integration | 32W50 | calculus of variations | Cordes’ condition | 35D30 | fully nonlinear systems | 32A50 | Campanato’s near operators | Campanato's near operators | Cordes' condition | Cauchy-Riemann equations | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, ISSN 1072-6691, 07/2015, Volume 2015, Issue 191, pp. 1 - 7
Our aim is to obtain LP estimates for the second-order horizontal derivatives of the solutions for a nondivergence form nonlinear equation in Carnot groups. 
MATHEMATICS | nonlinear equations | MATHEMATICS, APPLIED | DISCONTINUOUS COEFFICIENTS | Cordes condition | ELLIPTIC-EQUATIONS | DIVERGENCE FORM | Carnot groups
Journal Article
Numerische Mathematik, ISSN 0029-599X, 05/2016, Volume 133, Issue 1, pp. 141 - 176
We propose and analyse a fully discrete discontinuous Galerkin time-stepping method for parabolic Hamilton-Jacobi-Bellman equations with Cordes coefficients.... 
65N15 | 65N12 | 35D35 | 35K55 | 65N30 | 35K10 | NUMERICAL-METHODS | MATHEMATICS, APPLIED | HP-VERSION | APPROXIMATION | DIFFERENCE-SCHEMES | Finite element method | Anisotropy | Methods | Mathematics - Numerical Analysis | Numerical Analysis | Mathematics
Journal Article
Journal Article
Collectanea Mathematica, ISSN 0010-0757, 9/2016, Volume 67, Issue 3, pp. 539 - 554
In this paper we prove some weighted $$W^{2,2}$$ W 2 , 2 -a priori bounds for a class of linear, elliptic, second-order, differential operators of Cordes type... 
35B45 | Mathematics | Cordes condition | 35J25 | Geometry | Uniqueness and existence results | Algebra | Analysis | Elliptic equations | A priori bounds | Applications of Mathematics | Weighted spaces | 35R05 | MATHEMATICS | MATHEMATICS, APPLIED | UNBOUNDED-DOMAINS
Journal Article
Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 6/2016, Volume 23, Issue 3, pp. 1 - 30
Journal Article
SIAM JOURNAL ON NUMERICAL ANALYSIS, ISSN 0036-1429, 2019, Volume 57, Issue 2, pp. 751 - 778
In this paper we present and analyze a discontinuous Galerkin finite element method (DGFEM) for the approximation of solutions to elliptic partial differential... 
oblique | MATHEMATICS, APPLIED | curved | finite element methods | nondivergence form | APPROXIMATIONS | PDEs | discontinuous Galerkin | EQUATIONS | Cordes condition
Journal Article
SIAM journal on numerical analysis, ISSN 0036-1429, 03/2019, Volume 57, Issue 2, pp. 592 - 614
A mixed finite element approximation of $H^2$ solutions to the fully nonlinear Hamilton--Jacobi--Bellman equation, with coefficients that satisfy the Cordes... 
MATHEMATICS, APPLIED | fully nonlinear PDE | PARABOLIC EQUATIONS | mixed finite element methods | Cordes condition | NONDIVERGENCE FORM | NUMERICAL-ANALYSIS | nondivergence form PDE | Hamilton-Jacobi-Bellman equation | PARTIAL-DIFFERENTIAL-EQUATIONS | adaptive algorithm | CONVERGENCE | ELLIPTIC-EQUATIONS | a posteriori error analysis | SCHEMES
Journal Article
2009, ISBN 038730343X, 684
Now in a third edition, this volume of the handbook characterizes pathologies resulting from traumatic brain and spinal cord injury as well as various... 
Neurochemistry | Molecular neurobiology | Neurosciences | Biomedicine
eBook
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 09/2019, Volume 35, Issue 5, pp. 1717 - 1744
I. Smears and E. Süli designed and analyzed a discontinuous Galerkin finite element method for the approximation of solutions to elliptic partial differential... 
discontinuous Galerkin | curved | Cordes condition | finite element methods | nondivergence form | PDEs | MATHEMATICS, APPLIED | BOUNDARY-VALUE-PROBLEMS | FINITE-ELEMENT APPROXIMATION | NUMERICAL-ANALYSIS | Finite element method | Domains | Galerkin method | Elliptic functions | Partial differential equations
Journal Article
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN 0022-247X, 03/2014, Volume 411, Issue 2, pp. 947 - 952
Our aim is to estimate the second order horizontal derivatives of the solutions for a nondivergence form subelliptic equation a(x, u, Xu, X(2)u) = f(x). (C)... 
MATHEMATICS | MATHEMATICS, APPLIED | DISCONTINUOUS COEFFICIENTS | DIVERGENCE-FORM | Cordes condition | FORM ELLIPTIC-EQUATIONS | Subelliptic equation
Journal Article
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