نتایج جستجو برای: posed problem

تعداد نتایج: 897445  

Journal: :SIAM J. Math. Analysis 2015
Vincent Duchêne Samer Israwi Raafat Talhouk

This study deals with asymptotic models for the propagation of one-dimensional internal waves at the interface between two layers of immiscible fluids of different densities, under the rigid lid assumption and with a flat bottom. We present a new Green-Naghdi type model in the Camassa-Holm (or medium amplitude) regime. This model is fully justified, in the sense that it is consistent, well-pose...

2016
Lu-Chuan Ceng Yeong-Cheng Liou Ching-Feng Wen

In the present paper, we generalize the concept of well-posedness to a generalized hemivariational inequality, give some metric characterizations of the α-well-posed generalized hemivariational inequality, and derive some conditions under which the generalized hemivariational inequality is strongly α-well-posed in the generalized sense. Also, we show that the α-well-posedness of the generalized...

2014
Jussi Behrndt

We discuss optimal well-posedness results for parabolic boundary value problems on non-compact Riemannian manifolds. We explain, in particular, the

1994
Thomas I. Seidman

For the backwards heat equation, stabilized by an a priori initial bound, an estimator is determined for intermediate values which is optimal with respect to the bound and the observation accuracy. It is shown how this may be implemented computationally with error estimates for the computed approximation which can be made arbitrarily close to the uncertainty level induced by the ill-posedness o...

Journal: :Electr. J. Comb. 2003
Michael J. Schlosser

We present a new matrix inverse with applications in the theory of bilateral basic hypergeometric series. Our matrix inversion result is directly extracted from an instance of Bailey’s very-well-poised 6ψ6 summation theorem, and involves two infinite matrices which are not lower-triangular. We combine our bilateral matrix inverse with known basic hypergeometric summation theorems to derive, via...

2006
LUCA CAPOGNA David S. Tartakoff

We introduce a notion of wave maps with a target in the subRiemannian Heisenberg group and study their relation with Riemannian wave maps with range in Lagrangian submanifolds. As an application we establish existence and eventually ill-posedness of the corresponding Cauchy problem.

2006
HUA WANG

We apply the I-method to prove that the Cauchy problem of a higher-order Schrödinger equation is globally well-posed in the Sobolev space Hs(R) with s > 6/7.

2006
Thomas I. Seidman

For the backwards heat equation, stabilized by an a priori initial bound, an estimator is determined for intermediate values which is optimal with respect to the bound and the observation accuracy. It is shown how this may be implemented computationally with error estimates for the computed approximation which can be made arbitrarily close to the uncertainty level induced by the ill-posedness o...

2009
C. DAVID LEVERMORE WEIRAN SUN

A. We establish the local well-posedness result for the Cauchy problem of a ghost effect system from gas dynamics that derives from kinetic theory. We show that this system has a unique classical solution for a finite time for all initial data whose deviations from nonzero background values lie in Sobolev spaces of sufficiently high order and such that its initial temperature is positive...

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