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Crystallization in Two Dimensions and a Discrete Gauss–Bonnet Theorem

Journal of nonlinear science, 2018-02, Vol.28 (1), p.69-90

2018

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The multiconfiguration equations for atoms and molecules: Charge quantization and existence of solutions

Archive for rational mechanics and analysis, 2003-08, Vol.169 (1), p.35-71

FRIESECKE, G

2003

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Validity and Failure of the Cauchy-Born Hypothesis in a Two-Dimensional Mass-Spring Lattice

Journal of nonlinear science, 2002-09, Vol.12 (5), p.445-478

2002

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Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

Nonlinearity, 1999-11, Vol.12 (6), p.1601-1627

1999

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Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory

Nonlinearity, 2004-01, Vol.17 (1), p.207-227

2004

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Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy

Nonlinearity, 2004-01, Vol.17 (1), p.229-251

2004

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On the infinitude of non–zero eigenvalues of the single–electron density matrix for atoms and molecules

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2003-01, Vol.459 (2029), p.47-52

Friesecke, G.

2003

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Solitary waves on FPU lattices: II. Linear implies nonlinear stability

Nonlinearity, 2002-07, Vol.15 (4), p.1343-1359, Article 317

2002

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A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence

Archive for rational mechanics and analysis, 2006-05, Vol.180 (2), p.183-236

2006

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Cnoidal Waves on Fermi–Pasta–Ulam Lattices

Journal of dynamics and differential equations, 2015-12, Vol.27 (3-4), p.627-652

2015

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A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

Communications on pure and applied mathematics, 2002-11, Vol.55 (11), p.1461-1506

2002

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Pair Correlations and Exchange Phenomena in the Free Electron Gas

Communications in mathematical physics, 1997-03, Vol.184 (1), p.143-171

Friesecke, G.

1997

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Decay behavior of least-squares coefficients in auxiliary basis expansions

The Journal of chemical physics, 2005-08, Vol.123 (6), p.061101-061101-4

2005

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Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy

SIAM journal on mathematical analysis, 1997-03, Vol.28 (2), p.363-380

1997

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Dynamic stability of non–minimizing phase mixtures

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 1997-11, Vol.453 (1966), p.2427-2436

1997

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The Mathematics of Microstructure and the Design of New Materials

Proceedings of the National Academy of Sciences - PNAS, 1999-07, Vol.96 (15), p.8332-8333

1999

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Setting and Analysis of the Multi-configuration Time-dependent Hartree–Fock Equations

Archive for rational mechanics and analysis, 2010-10, Vol.198 (1), p.273-330

2010

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Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics

Archive for rational mechanics and analysis, 2009-06, Vol.192 (3), p.453-499

2009

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A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods

Journal of the mechanics and physics of solids, 2000-06, Vol.48 (6), p.1519-1540

2000

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Atomic-scale localization of high-energy solitary waves on lattices

Physica. D, 2002-11, Vol.171 (4), p.211-220

2002

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Dynamics as a mechanism preventing the formation of finer and finer microstructure

Archive for rational mechanics and analysis, 1996-01, Vol.133 (3), p.199-247

1996

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Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

Comptes rendus. Mathématique, 2003-04, Vol.336 (8), p.697-702

2003

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Geometric solitary waves in a 2D mass-spring lattice

Discrete and continuous dynamical systems. Series B, 2003, Vol.3 (1), p.105-144

2003

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Overall Properties of a Discrete Membrane with Randomly Distributed Defects

Archive for rational mechanics and analysis, 2008, Vol.189 (2), p.301-323

2008

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Existence theorem for solitary waves on lattices

Communications in mathematical physics, 1994-03, Vol.161 (2), p.391-418

1994

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Crystallization in Two Dimensions and a Discrete Gauss–Bonnet Theorem

The multiconfiguration equations for atoms and molecules: Charge quantization and existence of solutions

Validity and Failure of the Cauchy-Born Hypothesis in a Two-Dimensional Mass-Spring Lattice

Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory

Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy

On the infinitude of non–zero eigenvalues of the single–electron density matrix for atoms and molecules

Solitary waves on FPU lattices: II. Linear implies nonlinear stability

A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence

Cnoidal Waves on Fermi–Pasta–Ulam Lattices

A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity

Pair Correlations and Exchange Phenomena in the Free Electron Gas

Decay behavior of least-squares coefficients in auxiliary basis expansions

Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy

Dynamic stability of non–minimizing phase mixtures

The Mathematics of Microstructure and the Design of New Materials

Setting and Analysis of the Multi-configuration Time-dependent Hartree–Fock Equations

Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics

A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods

Atomic-scale localization of high-energy solitary waves on lattices

Dynamics as a mechanism preventing the formation of finer and finer microstructure

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

Geometric solitary waves in a 2D mass-spring lattice

Overall Properties of a Discrete Membrane with Randomly Distributed Defects

Existence theorem for solitary waves on lattices

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