Results 291 to 300 of about 1,691,019 (337)
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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
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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 .
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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 .
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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.
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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.
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Weak Solutions of a Generalized Boussinesq System
Journal of Dynamics and Differential Equations, 1999The dynamical systems reduced from the unperturbed and perturbed Boussinesq equations are compared. Four types of weak solutions, including compactons, peakons, rampsons and meseons are shown to be limits of analytic solitary wave solutions of the perturbed system. The solitary wave solutions representing homoclinic orbits or heteroclinic orbits of the
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Global Weak Solutions of the Boltzmann Equation
Journal of Statistical Physics, 2005The spatially homogeneous solutions of the nonlinear Boltzmann equation are studied analytically. The global solution for the one-dimensional problem is considered. The weak form for the collision operator of the Boltzmann equation is introduced. The main goal of the article is that the initial value problem for the fife lemmas and the main theorem are
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Low-dimensional wide-bandgap semiconductors for UV photodetectors
Nature Reviews Materials, 2023Ziqing Li, Xiaosheng Fang
exaly