Results 281 to 290 of about 2,475,365 (332)
Some of the next articles are maybe not open access.
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 ...
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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,
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
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?
openaire +1 more source
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?
openaire +1 more source
Weak Sharp Solutions of Variational Inequalities
SIAM Journal on Optimization, 1998Summary: We give sufficient conditions for the finite convergence of descent algorithms for solving variational inequalities involving generalized monotone mappings.
Marcotte, Patrice, Zhu, Daoli
openaire +1 more source
1993
Let u be a weak solution of equations of the type of (1.1) of Chap. II in Ω T We will establish local and global bounds for u in. Ω T . Global bounds depend on the data prescribed on the parabolic boundary of Ω T . Local bounds are given in terms of local integral norms of u. Consider the cubes K ρ ⊂ K 2ρ .
openaire +1 more source
Let u be a weak solution of equations of the type of (1.1) of Chap. II in Ω T We will establish local and global bounds for u in. Ω T . Global bounds depend on the data prescribed on the parabolic boundary of Ω T . Local bounds are given in terms of local integral norms of u. Consider the cubes K ρ ⊂ K 2ρ .
openaire +1 more source
1998
It is shown that under appropriate ellipticity assumptions, weak solutions of partial differential equations (PDEs) are smooth. This applies in particular to the Laplace equation for harmonic functions, thereby justifying Dirichlet’s principle introduced in the previous paragraph.
openaire +1 more source
It is shown that under appropriate ellipticity assumptions, weak solutions of partial differential equations (PDEs) are smooth. This applies in particular to the Laplace equation for harmonic functions, thereby justifying Dirichlet’s principle introduced in the previous paragraph.
openaire +1 more source