摘要:

AbstractLetu=u(x,y)andf=f(x,y)be two functions related by a PDEP(x,y,Dx,Dy)u=f; the regularity of they‐average ∫u(x,·)dyas a function ofxis investigated knowing that ofuandf. Our method consists in reducingPto a microlocal normal form under a natural transversality assumption. The 2‐microlocal regularity ofuis also determined knowing that off. These results are then applied to a homogenization problem. This article generalizes the results of [16] and [12]on velocity averaging and homogenization for kinetic equ

ISSN:0010-3640    

DOI:10.1002/cpa.3160450102

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1992

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160450103

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1992

数据来源: WILEY

摘要:

AbstractIn this paper, we study the regularity of solutions of the quasilinear equation\documentclass{article}\pagestyle{empty}\begin{document}$$ \sum\limits_{ij = 1}^m {Aij(x,u,Xu)X_i X_j u + B(x,u,Xu) = 0} \end{array} $$\end{document}whereX= (X1,…,Xm) is a system of real smooth vector fields, Aij,BϵC∞(Ω × ℝRm+1). Assume thatXsatisfies the Hörmander condition and (Aij(x, z,ζ)) is positive definite. We prove that ifuϵS2,α(Ω) (see Section 2) is a solution of the above equation,

ISSN:0010-3640    

DOI:10.1002/cpa.3160450104

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1992

数据来源: WILEY

摘要:

AbstractThe large deviation problem of Wentzell‐Freidlin type is considered for a class of semilinear parabolic equations perturbed by a small multiplicative noise. In a Hilbert space setting, it is proved that, under suitable conditions, the associated family of solution measures, depending on a small parameter, obeys the large deviation principle with respect to a certain rate functio

ISSN:0010-3640    

DOI:10.1002/cpa.3160450105

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1992

数据来源: WILEY

摘要:

AbstractWe give a proof of the theorem of removing isolated singularities of pseudo‐holomorphic curves with Lagrangian boundary conditions and bounded symplectic area. The proof is a combination of someLp‐type estimates, standard techniques of geometric P.D.E., and some ideas from symplectic geometry and calibration the

ISSN:0010-3640    

DOI:10.1002/cpa.3160450106

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1992

数据来源: WILEY

ISSN:0010-3640    

DOI:10.1002/cpa.3160450101

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1992

数据来源: WILEY