Results 281 to 290 of about 1,691,019 (337)
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WEAK SOLUTIONS FOR WEAK SINGULARITIES
International Journal of Modern Physics A, 2002We revisit the problem of the development of singularities in the gravitational collapse of an inhomogeneous dust sphere. As shown by Yodzis et al1, naked singularities may occur at finite radius where shells of dust cross one another. These singularities are gravitationally weak 2, and it has been claimed that at these singularities, the metric may ...
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Weak Solutions for Obstacle Problems with Weak Monotonicity
Studia Scientiarum Mathematicarum Hungarica, 2021This paper is concerned with the existence of weak solutions for obstacle problems. By means of the Young measure theory and a theorem of Kinderlehrer and Stampacchia, we obtain the needed result.
Farah Balaadich, Elhoussine Azroul
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Journal of Chemical Education, 1986
The cubic equations that arise when accurately calculating the concentrations of the various species of a monobasic acid or base in solution have recently attracted some attention in this journal.
Ian J. McNaught, Gavin D. Peckham
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The cubic equations that arise when accurately calculating the concentrations of the various species of a monobasic acid or base in solution have recently attracted some attention in this journal.
Ian J. McNaught, Gavin D. Peckham
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2021
Weak solutions, of variational inequality type, are introduced. Their defining properties can be equivalently expressed in terms of quadrature identities for subharmonic functions, or in terms of partial balayage. Some versions of inverse balayage are also discussed, this needed as a preparatory step for constructing more general Laplacian evolutions ...
Björn Gustafsson, Yu-Lin Lin
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Weak solutions, of variational inequality type, are introduced. Their defining properties can be equivalently expressed in terms of quadrature identities for subharmonic functions, or in terms of partial balayage. Some versions of inverse balayage are also discussed, this needed as a preparatory step for constructing more general Laplacian evolutions ...
Björn Gustafsson, Yu-Lin Lin
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Weak Solutions for Semi-Martingales
Canadian Journal of Mathematics, 1981The fundamental theorem of this paper is stated in Section 8. In this theorem, the stochastic differential equation dX = a(X)dZ is studied when Z is a *-dominated (cf. [15]) Banach space valued process and a is a predictable functional which is continuous for the uniform norm.For such an equation, the existence of a “weak solution” is stated; actually,
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2015
So far, we have focussed on solutions of SDEs where we are simply given a filtration, and with it the Brownian motion W and the random measure μ. We then construct the solution to our equation ( 17.2). In essence, we have used no properties of the filtration except the fact that W and μ are adapted.
Samuel N. Cohen, Robert J. Elliott
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So far, we have focussed on solutions of SDEs where we are simply given a filtration, and with it the Brownian motion W and the random measure μ. We then construct the solution to our equation ( 17.2). In essence, we have used no properties of the filtration except the fact that W and μ are adapted.
Samuel N. Cohen, Robert J. Elliott
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1997
Let 0 < T < +∞, A and B be c.n.o. in H. In the previous chapter, we have answered the following question: what must be A and B for each bounded weak solution of equation (1) on [0,T) to have a limit in H as t → T?
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Let 0 < T < +∞, A and B be c.n.o. in H. In the previous chapter, we have answered the following question: what must be A and B for each bounded weak solution of equation (1) on [0,T) to have a limit in H as t → T?
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