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Compositio mathematica, ISSN 0010-437X, 11/2013, Volume 149, Issue 11, pp. 1856 - 1870
In this paper, we develop a method of solving the Poincaré–Lelong equation, mainly via the study of the large time asymptotics of a global solution to the Hodge... 
Hodge-Laplacian heat equation | Kähler manifolds | Poincaré-Lelong equation | Convex exhaustion | MATHEMATICS | Kahler manifolds | CURVATURE | COMPLETE KAHLER-MANIFOLDS | POISSON EQUATION | Poincare-Lelong equation | Studies | Theorems | Topological manifolds | Mathematical analysis | Asymptotic properties
Journal Article
Journal Article
Communications in mathematical physics, ISSN 1432-0916, 2016, Volume 346, Issue 3, pp. 877 - 906
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 05/2018, Volume 333, pp. 74 - 93
We consider boundary value problems for the Poisson equation on polygonal domains with general nonhomogeneous mixed boundary conditions and derive, on the one hand, explicit extraction formulas... 
Poisson equation | Singularities | A priori error estimates | Finite element methods | CORNER | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | SINGULAR FUNCTIONS | BOUNDARY-VALUE-PROBLEMS | MESH-REFINEMENT | Finite element method | Algorithms | Analysis | Methods
Journal Article
Engineering fracture mechanics, ISSN 0013-7944, 2016, Volume 158, pp. 116 - 143
Journal Article
Journal of algebra and its applications, ISSN 0219-4988, 01/2018, Volume 17, Issue 1
In this work, we compute solutions of the Yang-Baxter associative equation in dimensions one and two... 
Yang-Baxter equation | Frobenius algebra | Connes cocycle | dendriform algebra | D -equation | Associative algebra | D-equation | MATHEMATICS, APPLIED | HOPF-ALGEBRAS | MATHEMATICS | TREES | POISSON ALGEBRAS | HOMOLOGY | BIALGEBRAS
Journal Article
Journal of physics. Condensed matter, ISSN 1361-648X, 2019, Volume 31, Issue 37, p. 375101
The classical Poisson-Boltzmann equation (CPBE), which is a mean field theory by averaging the ion fluctuation, has been widely used to study ion distributions in charged fluids... 
INTERACTION FREE-ENERGY | PHYSICS, CONDENSED MATTER | path integral | stochastic process | IONS | FORCES | DOUBLE-LAYER | Poisson-Boltzmann equation | monte carlo | charged fluids | field theory | SURFACES
Journal Article
European journal of physics, ISSN 0143-0807, 07/2018, Volume 39, Issue 5, p. 53002
The description of a conducting medium in thermal equilibrium, such as an electrolyte solution or a plasma, involves nonlinear electrostatics, a subject rarely... 
electric double layer | Poisson-Boltzmann theory | Gibbs variational principle | double-layer free energies | inter-plate forces in electrolytes | PHYSICS, MULTIDISCIPLINARY | ADSORPTION | MOLECULES | VARIATIONAL APPROACH | PLASMA | LIOUVILLE EQUATION | ELECTRODE | FORCES | DOUBLE-LAYER | IONIC LIQUIDS | FREE-ENERGY | EDUCATION, SCIENTIFIC DISCIPLINES
Journal Article
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1471-2946, 2018, Volume 474, Issue 2213, p. 20180052
Journal Article
Physical chemistry chemical physics : PCCP, ISSN 1463-9084, 2017, Volume 19, Issue 36, pp. 24583 - 24593
...) simulations and assess the ability of the Poisson–Boltzmann (PB) equation to describe the ion distribution predicted by the MD simulations... 
SALT | AQUEOUS-SOLUTIONS | COUNTERION CONDENSATION | DNA COMPLEXES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | FORCE-FIELD | ELECTROLYTE-SOLUTIONS | MONTE-CARLO SIMULATIONS | MULTILAYER | FREE-ENERGY | WATER
Journal Article
The Ramanujan journal, ISSN 1572-9303, 2008, Volume 16, Issue 1, pp. 105 - 129
...) which is a discrete version of the classical logarithmic derivative estimates of f(z). We apply these results to give new growth estimates of meromorphic solutions to higher order linear difference equations... 
30D30 | Poisson–Jensen formula | Functions of a Complex Variable | Field Theory and Polynomials | 39A05 | Mathematics | Meromorphic functions | 30D35 | Fourier Analysis | Order of growth | Difference equations | Number Theory | Combinatorics | Poisson-Jensen formula | MATHEMATICS | ORDER | DISCRETE PAINLEVE EQUATIONS | order of growth | ANALOG | PROPERTY | meromorphic functions | MEROMORPHIC SOLUTIONS | difference equations
Journal Article
Mathematical models & methods in applied sciences, ISSN 0218-2025, 02/2009, Volume 19, Issue 2, pp. 199 - 228
The aim of this paper is to give new dispersive tools for certain kinetic equations... 
Vlasov-Poisson equation | Dispersion estimate | SYSTEM | EXISTENCE | MATHEMATICS, APPLIED | dispersion estimate | GLOBAL CLASSICAL-SOLUTIONS | PROPAGATION | MOMENTS
Journal Article