نتایج جستجو برای: posed problem

تعداد نتایج: 897445  

Journal: :SIAM J. Math. Analysis 2004
John V. Matthews David G. Schaeffer

We construct solutions of a free boundary value problem for a hyperbolic equation with Dirichlet boundary data. This problem arises from a model of deformation of granular media.

2006
ALEXANDRU D. IONESCU CARLOS E. KENIG

We prove that the Schrödinger map initial-value problem { ∂ts = s×∆xs on R × [−1, 1]; s(0) = s0 is locally well-posed for small data s0 ∈ H σ0 Q (R ; S), σ0 > (d+ 1)/2, Q ∈ S.

2007
Thomas I. Seidman

We consider a spherical grain which may be growing by accretion or dissolving in a dilute solution of the same substance where one also has reaction and diiusion. The resulting free boundary problem is shown to be well-posed and additional regularity is obtained.

2007
HAMMADI ABIDI TAOUFIK HMIDI

This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spaces.

2002
J. COLLIANDER G. STAFFILANI H. TAKAOKA T. TAO

We prove an endpoint multilinear estimate for the X spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for periodic generalized KdV equations, as well as some global well-posedness results below the energy norm.

1999
Thomas Hélie Christophe Vergez Jean Lévine Xavier Rodet

In this paper, we deal with the inversion of a physical model of a trumpet, i.e. how should the player control the model in order to obtain a given sound ? After having shown that the inversion is a ill-posed problem, we add a physically based constraint which leads to a physically pertinent solution .

2006
ALEXANDRU D. IONESCU CARLOS E. KENIG

We prove that the Benjamin–Ono initial-value problem is locally well-posed for small data in the Banach spaces H̃σ(R), σ ≥ 0, of complex-valued Sobolev functions with special low-frequency structure.

Journal: :SIAM J. Control and Optimization 2005
Cédric Langbort Raffaello D'Andrea

We present a class of spatially interconnected systems with boundary conditions that have close links with their spatially invariant extensions. In particular, well-posedness, stability, and performance of the extension imply the same characteristics for the actual, finite extent system. In turn, existing synthesis methods for control of spatially invariant systems can be extended to this class...

2016
YING WANG

In this article, we consider the Cauchy problem for sixth-order damped Boussinesq equation in Rn. The well-posedness of global solutions and blow-up of solutions are obtained. The asymptotic behavior of the solution is established by the multiplier method.

2009
Kim Dang PHUNG

This talk describes some applications of two kinds of observation estimate for the wave equation and for the damped wave equation in a bounded domain where the geometric control condition of C. Bardos, G. Lebeau and J. Rauch may failed. 1 The wave equation and observation We consider the wave equation in the solution u = u(x, t)    ∂ t u−∆u = 0 in Ω× R , u = 0 on ∂Ω× R , (u, ∂tu) (·, 0) = (u...

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