偏微分方程中的逆问题-第2版

本书特色

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in 8 years after publication of the first version of this book，the rapidly progressing field of inverse problems witnessed changes and new developments parts of艾赛科威专著的《偏微分方程中的逆问题(第2版)》were used at several universities．and many colleagues and students as well asmyselfobserved several misprintsandimprecisions some ofthe research problems from the first edition have been solved this edition serves the purposes of reflecting these changes and making appropiate corrections 1 hope that these additions and corrections resulted in not too many new errors and misprints chapters i and 2 contain only 2-3 pages of new materiaijike in sections 1．5． 2 5 chapter 3 order equations and included bound……

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目录

prefaee to the second editionprefacetothefirstedifionchapter l inverse problems    1．1 the inverse problem of gravimetry    1．2 the lnverse conductivity problem    1．3 inverse scattering    1．4 tomography and the inverse seismic problem    1．5 inverse spectral problemschapter 2 ill-posed problems and regularization    2．1 well．and ill—posed problems    2．2 conditional correctness：regularization    2．3 construetion of regularizers    2．4 convergence of regularization algorithms    2．5 herative algorithmschapter 3 uniqueness and stability in the cauchy problem    3．1 the backward parabolic equation    3．2 general carleman estimates and the cauchy problem    3．3 elliptic and parabolic equations    3．4 hyperbolic and schr6dinger equations    3．5 systems of partial differential equations    3．6 open problemschapter 4 elliptic equations：single boundary measurements    4．0 results on elliptic boundary value problems    4．1 inverse gravimetry    4．2 reconstruction of lowcr-order terms    4．3 the jbvefsc conductivity problem    4．4 methods of the theory of one complex variable    4．5 linearization of the coe佑cients problem    4．6 some problems ofdetection ofdefects    4．7 open problemschapter 5 elliptic equations：many boundary measurements    5．o the dirichlet．to—neumann map    5．1 boundary reconstruction    5．2 reconstruction in q    5．3 completeness of products of solutions of pde    5．4 recovery of several coeffcients    5．5 the plane case    5．6 nonlinear equations    5．7 discontinuous conductivities    5．8 maxwell’s and elasticity systems    5．9 open problemschapter 6 scattering problems    6．0 direct scattering    6 l from a to nearfield    6 2 scattering by a medium    6．3 scattering by obstacles    6．4 open problemschapter 7 integral geometry and tomography    7．1 the radon transfofin and its inverse    7．2 the energy integral methods    7 3 boman’s counterexample    7．4 the transport equation    7．5 open problemschapter 8 hyperbolic problems    8．0 introduction    8．1 the one．dimensional case    8．2 single boundary measurements    8．3 many measurements：use of beam solutions    8．4 many measurements：methods of boundary control    8．5 recovery ofdiscontinuity ofthe speed ofpropagation    8．6 open problemschapter 9 inverse parabolic problems    9．0 introduction    9．1 final orerdetermination    9．2 lateral orerdetermination：single measurements    9．3 ne inverse problem of option pricing    9．4 lateral overdetermination：many measurements    9．5 discontinuous principal coemcient and recovery of a domain    9．6 nonlinear equations        9．7 interior sources    9．8 open problemschapter 10 some numerical methods&

封面

书名:偏微分方程中的逆问题-第2版

作者:艾赛科威

页数:344

定价:¥59.0

出版社:世界图书出版公司

出版日期:2014-03-01

ISBN:9787510070235

PDF电子书大小:73MB 高清扫描完整版