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Gradient estimates for potentials of invertible gradient–mappings on the sphere
Calculus of Variations and Partial Differential Equations, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Delanoë, Philippe, Loeper, Grégoire
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Gradients, Singularities and Interatomic Potentials
2021After a brief review on the ability of continuum gradient elasticity (GradEla) to eliminate singularities from dislocation lines and crack tips, we present an extension to its fractional counterpart by replacing the classical Laplacian in the gradient-enhanced Hooke’s Law by a fractional one.
K. Parisis, E. C. Aifantis
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ON A CLASS OF GRADIENT SYSTEMS WITH IRREGULAR POTENTIALS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001The authors consider a stochastic gradient system in a real Hilbert space \(H\) defined by the following stochastic differential equation \[ dX(t)= [AX(t)- DU(X(t))]\,dt+ dW_t,\quad X(0)= x\in H,\tag{\(*\)} \] where \(A:{\mathcal D}(A)\subset H\to H\) is a selfadjoint operator, \(U\) a real convex function on \(H\) and \(W_t\) a cylindrical Wiener ...
G. Da Prato, Tubaro, Luciano
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Gradient, Potential, Potential Function
1988Ruhende Ladungen erfullen den sie umgebenden Raum mit einem elektrostatischen Feld. Die Existenz dieses Feldes last sich durch seine Kraftwirkung auf Korper, die in dieses Feld gebracht werden, nachweisen. Der Feldraum zwischen den Ladungen kann sowohl durch die vektorielle Feldstarkefunktion $\rm {\vec E}({\vec r})$ bzw. $\rm {\vec E}(x,y,z)$ als auch
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On potential gradient and the air‐Earth current
Terrestrial Magnetism and Atmospheric Electricity, 1932(1) Introduction—The fundamental phenomena in the atmospheric electricity of fine weather are three. The gradient of potential is normally positive, that is, such that the electric force drives positive electricity downwards. The air is a conductor of electricity, the conductivity depending on ionization.
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Atmospheric Potential Gradient Anomalies
Physics, 1936A series of observations of the atmospheric potential gradient have been made over a period of six years and have been correlated with positions of the sun-spots and weather conditions. Maxima or minima of the potential gradient and storms appear to recur at intervals of approximately 27 days and at the same time that sun-spots appear near a plane ...
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