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《线性偏微分算子分析》L.Hormander（四卷全）【已搜素，无置重】 已有2人参与
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作者： Lars Hormander 丛书名： Grundlehren Der Mathematischen Wissenschaften 出版社：世界图书出版公司 ISBN：9787 上架时间：2014-3-10 出版日期：2005 年6月 开本：24开 页码：1705 版次：1-1 所属分类：数学 > 计算数学 > 偏微分 目录 《线性偏微分算子分析 第1卷 第2版(英文影印版)》 introduction chapterⅰ test functions summary 1.1 a review of differential calculus 1.2 existence of test functions 1.3 convolution 1.4 cutoff functions and partitions of unity notes chapterⅱ definition and basic properties of distributions summary 2.1 basic definitions 2.2 localization 2.3 distributions with compact support notes chapterⅲ differentiation and multiplication by functions summary 3.1 definition and examples 3.2 homogeneous distributions 3.3 some fundamental solutions 3.4 evaluation of some integrals notes chapterⅳ convolution summary 4.1 convolution with a smooth function 4.2 convolution of distributions 4.3 the theorem of supports 4.4 the role of fundamental solutions 4.5 basic lp estimates for convolutions notes chapterⅴ distributions in product spaces summary 5.1 tensor products 5.2 the kernel theorem notes chapterⅵ composition with smooth maps summary 6.1 definitions 6.2 some fundamental solutions 6.3 distributions on a manifold 6.4 the tangent and cotangent bundles notes chapterⅶ the fourier transformation summary 7.1 the fourier transformation in and in 7.2 poissons summation formula and periodic distributions 7.3 the fourier-laplace transformation in 7.4 more general fourier-laplace transforms 7.5 the malgrange preparatio theorem 7.6 fourier transforms of gaussian functions 7.7 the method of stationary phase 7.8 oscillatory integrals 7.9 h(s)lp and holder estimates notes chapterⅷ spectral analysis of singularities summary 8.1 the wave front set 8.2 a review of operations with distributions 8.3 the wave front set of solutions of partial differential equations 8.4 the wave front set with respect to 8.5 rules of computation for wfl 8.6 wfl for solutions of partial differential equations 8.7 microhyperbolicity notes chapterⅸ hyperfunctions summary …… exercises answers and hints to all the exercises bibliography index index of notation 《线性偏微分算子分析 第2卷 第2版(英文影印版)》 introduction chapter 10. existence and approximation of solutions of differential equations summary 10.1. the spaces bp.k 10.2. fundamental solutions 10.3. the equation p(d) u =f when 10.4. comparison of differential operators 10.5. approximation of solutions of homogeneous differential equations 10.6. the equation p(d)u=f when f is in a local space 10.7. the equation p(d) u =f when 10.8. the geometrical meaning of the convexity conditions notes chapter 11. interior regularity of solutions of differential equations summary 11.1. hypoeuiptic operators 11.2. partially hypoelliptic operators 11.3. continuation of differentiability 11.4. estimates for derivatives of high order notes .chapter 12. the cauchy and mixed problems summary 12.1 the cauchy problem for the wave equation 12.2 the oscillatory cauchy problem for the wave equation 12.3 necessary conditions for existence and uniqueness of solutions to the cauchy problem …… chapter 13 differential operators of constant strength chapter 14 scattering theory chapter 15 analytic function theory and differential equations chapter 16 convolution equations appendix a. some algebraic lemmas bibliography index index of notation 《线性偏微分算子分析 第3卷 第2版(英文影印版)》 introduction chapter xvii. second order elliptic operators summary 17.1. interior regularity and local existence theorems 17.2. unique continuation theorems 17.3. the dirichlet problem 17.4. the hadamard parametrix construction 17.5. asymptotic properties of eigenvalues and eigenfunctions notes chapter xviii. pseudo-differential operators summary 18.1. the basic calculus 18.2. conormal distributions 18.3. totally characteristic operators 18.4. gauss transforms revisited 18.5. the weyl calculus 18.6. estimates of pseudo-differential operators notes chapter xix. elliptic operators on a compact manifold without boundary .summary 19.1. abstract fredholm theory 19.2. the index of elliptic operators 19.3. the index theorem in rn 19.4. the lefschetz formula 19.5. miscellaneous remarks on ellipticity notes chapter xx. boundary problems for elliptic differential operators summary 20.1. elliptic boundary problems 20.2. preliminaries on ordinary differential operators 20.3. the index for elliptic boundary problems 20.4. non-elliptic boundary problems notes chapter xxi. symplectic geometry summary 21.1. the basic structure 21.2. submanifolds of a sympletic manifold 21.3. normal forms of functions 21.4. folds and glancing hypersurfaces 21.5. symplectic equivalence of quadratic forms 21.6. the lagrangian grassmannian notes chapter xxii. some classes of (micro-)hypoelliptic operators summary 22.1. operators with pseudo-differential parametrix 22.2. generalized kolmogorov equations 22.3. melin\'s inequality 22.4. hypoellipticity with loss of one derivative notes chapter xxiii. the strictly hyperbolic cauchy problem summary 23.1. first order operators 23.2. operators of higher order 23.3. necessary conditions for correctness of the cauchy problem 23.4. hyperbolic operators of principal type notes chapter xxiv. the mixed dirichlet-cauchy problem for second order operators summary 24.1. energy estimates and existence theorems in the hyperbolic case 24.2. singularities in the elliptic and hyperbolic regions 24.3. the generalized bicharacteristic flow 24.4. the diffractive case 24.5. the general propagation of singularities 24.6. operators microlocally of tricomi\'s type 24.7. operators depending on parameters notes appendix b. some spaces of distributions b.1. distributions in irn and in an open manifold b.2. distributions in a half space and in a manifold with boundary appendix c. some tools from differential geometry c.1. the frobenius theorem and foliations c.2. a singular differential equation c.3. clean intersections and maps of constant rank c.4. folds and involutions c.5. geodesic normal coordinates c.6. the morse lemma with parameters notes bibliography index index of notation 《线性偏微分算子分析 第4卷 第2版(英文影印版)》 introduction chapter xxv. lagrangian distributions and fourier integral operators summary 25.1. lagrangian distributions 25.2. the calculus of fourier integral operators 25.3. special cases of the calculus， and l2 continuity 25.4. distributions associated with positive lagrangian ideals 25.5. fourier integral operators with complex phase notes chapter xxvi. pseudo-differential operators of principal type summary 26.1. operators with real principal symbols 26.2. the complex involutive case 26.3. the symplectic case 26.4. solvability and condition (ψ) 26.5. geometrical aspects of condition (p) 26.6. the singularities in n11 26.7. degenerate cauchy-riemann operators 26.8. the nirenberg-treves estimate . 26.9.the nrenberg-treves estimate 26.10.the singularites on one dimensional bicharacterstics 26.11.a semi-global existence theorem chapter xxvii.subelliptic operators summary 27.1.defintions and main results 27.2.the taylor expansion of the symbol 27.3.subelliptic operators satsfying(p) 27.4.local properties of the symbol chapter xxviiii.uniqueess for the cauchy problem chapter xxix.spectral asymptotics chapter xxx.long range scattering theory bibliography index index of notation 下载链接： 链接: http://pan.baidu.com/s/1pJJVqo7 密码: 7rz1 好不容易弄到的！大家多多评论！    7506272768m.jpg  53e4821cNb92f1468.jpg 补充一个微盘地址：http://vdisk.weibo.com/share/batch/zQYFeKfpIIFEE,zQYFeKfpIIFEy,zQYFeKfpIIFF7,zQYFeKfpIIFET,zQYFeKfpIIFES |
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maojun1998
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