ISSN:0360-5302    

DOI:10.1080/03605309908821463

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

ISSN:0360-5302    

DOI:10.1080/03605309908821464

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

We obtail optional continuity in Sobolev for the Fourior integral operators associated to singular canonical relations, when one of the two projection is a Whitney fold. The regularity depends on the type, K, of the projuction from the canonical relation (k=1 for whitney fold). We prove that one losesof a derivative in the regularity properties. The proof is based on the L2estimates for oscillatory inntegral operators

ISSN:0360-5302    

DOI:10.1080/03605309908821465

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

We describe the large time behavior of solutions of the scalar convection diffusion

ISSN:0360-5302    

DOI:10.1080/03605309908821466

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in IR2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribled function, and subject to a linear pseudo impulse constrint

ISSN:0360-5302    

DOI:10.1080/03605309908821467

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

Using the method of Bourgain we prove local well-posedness of the Cauchy problem for KP-II equation in non-isotropic Sobolev spaces. In the case of three space dimensions we prove local wellposedness in.

ISSN:0360-5302    

DOI:10.1080/03605309908821468

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

Using new Nash Moser techniques for Fréchet spaces by M. Poppenberg the local existence, uniqueness and continuous dependence of smooth solutions of a special quasilinear evolutionary Schrödinger equation is proved; as basic function space H∞(IRn), the intersection of all Sobolev spaces Hk(IRn), is used. The method consists in finding an appropriate linearization of the given nonlinear Schrödinger equation, and proving that this linear Schrödinger equation admits a strongly continuous evolution operator which provides the necessary a priori estimates for any derivative; this is shown by a transformation procedure using a time dependent metric which overcomes the difficulty arising from nondissipativity of the linearized Schrödinger equation

ISSN:0360-5302    

DOI:10.1080/03605309908821469

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

ISSN:0360-5302    

DOI:10.1080/03605309908821470

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

We study the initial trace problem on Ω at t = o for the positive solutions of the following parabolic equation(PE).We prove that the initial trace is an outer regular Borel measure, not necessarily locally bounded. Conversely, we study the initial trace problem with a given Borel measure. Whenwe prove that there is a one to one correspondence between regular Borel measures and positive solutions of (PE). Whenwe give necessary and sufficient conditions for the existence of a maximal solution with a given initial trace, but uniqueness does not hold

ISSN:0360-5302    

DOI:10.1080/03605309908821471

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor

摘要:

The main result of this paper is that for the hard sphere kernel, the solution of the spatially homogeneous Boltzmann equation converges strongly in L1to equilibrium given that the initial data f0belongs to.This was previously known to be true with the additional assumption thatwhich corresponds to bounded initial entropy

ISSN:0360-5302    

DOI:10.1080/03605309908821472

出版商:Marcel Dekker, Inc.    

年代:1999

数据来源: Taylor