Results 241 to 250 of about 585,491 (281)

Singular vacuum solutions as singular matter solutions: Where do spacetime singularities come from?

EPL (Europhysics Letters), 2017
A direct evidence for the existence of spacetime singularities is the existence of singularities in vacuum solutions of the Einstein equation. A singular vacuum solution implies that spacetime itself may have singularities. In this paper, we exemplify that a singular vacuum solution can also serve as a non-vacuum solution of the Einstein equation with ...
Yu-Zhu Chen, Wu-Sheng Dai
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Singularities of Solutions of the Eikonal Equation

Differential Equations, 2019
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On the Solutions of the Problem for a Singular Ergodic Control

Journal of Optimization Theory and Applications, 2017
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Yen-Lin Wu, Zhi-You Chen
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Perturbation of Solutions with Moving Singularities

Theoretical and Mathematical Physics, 2001
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C-singular solutions of the capillary problem

Journal für die reine und angewandte Mathematik (Crelles Journal), 1999
Summary: The problem of determining the surface interface of fluid partly filling a semi-infinite capillary tube closed at one end is considered, in the absence of gravity. It is known that solutions of the formal equations for a solution as a graph covering the base do not in general exist. In this paper it is shown that whenever smooth solutions fail
Finn, Robert, Neel, Robert Weston
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On the Solution of a Singular Integral Equation

Differential Equations, 2003
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Singular Perturbation Solutions of Noisy Systems

SIAM Journal on Applied Mathematics, 1995
Summary: Recent work on singular perturbation solutions that persist in the presence of noise is described. Two different settings are considered: small deviation theory in quasi-static problems, where there are small amplitude but highly irregular perturbations, and averaging problems where there are ergodic stochastic perturbations. In the first case,
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REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS

Reviews in Mathematical Physics, 1992
Local and global regularity properties of weak solutions of the Schrödinger equation −Δu+qu=λu play an important role in the spectral theory of the corresponding operator [Formula: see text]. Central among these properties is local boundedness of the solutions u, which is derived in an elementary way for potentials q whose negative parts q− lie in the
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Singular solutions in elasticity

Acta Mechanica, 1967
General solutions of the time-independent equations of motion for linear elasticity with couplestresses are studied. The completeness of a displacement potential similar to theGalerkin-Somigliana representation is proved. The fundamental singular solution of the field equations is defined with the aid of the reciprocal work theorem.
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Positive solutions for singular double phase problems

Journal of Mathematical Analysis and Applications, 2021
Nikolaos S Papageorgiou, Dušan D Repovš, Francesca Vetro   +2 more
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