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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
... by Campanato’s classical work in the 2nd order case. Herein, we extend the results of [ ] by introducing a new strictly weaker ellipticity condition and by proving well... 
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
Journal of Scientific Computing, ISSN 0885-7474, 5/2018, Volume 75, Issue 2, pp. 803 - 829
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
Collectanea Mathematica, ISSN 0010-0757, 9/2016, Volume 67, Issue 3, pp. 539 - 554
... coefficients of our differential operator satisfy the so-called Cordes type condition, which corresponds to uniform ellipticity if $$n=2$$ n... 
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 1095-7170, 2019, Volume 57, Issue 2, pp. 751 - 778
...) for the approximation of solutions to elliptic partial differential equations in nondivergence form, with oblique boundary conditions, on curved domains. In Kawecki... 
oblique | MATHEMATICS, APPLIED | curved | finite element methods | nondivergence form | APPROXIMATIONS | PDEs | discontinuous Galerkin | EQUATIONS | Cordes condition
Journal Article
Applicable Analysis, ISSN 0003-6811, 08/2015, Volume 94, Issue 8, pp. 1561 - 1593
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 condition, is proposed and analyzed... 
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
2007, ISBN 9780521860697, xvi, 739
String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to... 
String models
Book
Numerical methods for partial differential equations, ISSN 1098-2426, 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
Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2005, Volume 133, Issue 4, pp. 1047 - 1056
... of the approximate p-harmonic functions Using the Cordes condition cor tal and Strichartz s spectral analysis str we establish HW 2 2 estimates for linear subelliptic partial... 
Spectroscopy | Mathematical functions | Mathematical inequalities | Mathematical theorems | Sobolev spaces | Vector fields | Cordes conditions | P-laplacian | Subelliptic equations | MATHEMATICS | MATHEMATICS, APPLIED | p-Laplacian | HEISENBERG-GROUP | SPACES | subelliptic equations | EXTENSION
Journal Article
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