LEADER 04801nam 22006015 450 001 996418271303316 005 20200704000524.0 010 $a981-15-1592-1 024 7 $a10.1007/978-981-15-1592-7 035 $a(CKB)4100000010159954 035 $a(DE-He213)978-981-15-1592-7 035 $a(MiAaPQ)EBC6034350 035 $a(PPN)242980163 035 $a(EXLCZ)994100000010159954 100 $a20200204d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInverse Problems and Related Topics$b[electronic resource] $eShanghai, China, October 12?14, 2018 /$fedited by Jin Cheng, Shuai Lu, Masahiro Yamamoto 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2020. 215 $a1 online resource (VIII, 307 p. 48 illus., 17 illus. in color.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v310 300 $aIncludes index. 311 $a981-15-1591-3 327 $aPreface -- I Inverse problems and related topics for partial differential equations: 1. Jin Cheng, Mourad Choulli and Shuai Lu, An inverse conductivity problem in multifrequency electric impedance tomography -- 2. Piermarco Cannarsa and Cristina Urbani, Superexponential stabilizability of degenerate parabolic equations via bilinear control -- 3. Michel Cristofol and Lionel Roques, Simultaneous determination of two coefficients in Itô diffusion processes-theoretical and numerical approaches -- 4. Victor Isakov and Shuai Lu, On the inverse source problem with boundary data at many wave numbers -- 5. Guanghui Hu, Yikan Liu and Masahiro Yamamoto, Inverse moving source problem for fractional diffusion(-wave) equations: determination of orbits -- 6. O. Yu. Imanuvilov and M. Yamamoto, Inverse problems for a compressible fluid system -- 7. Xinchi Huang, Carleman estimate for a general second-order hyperbolic equation -- II Regularization theory of inverse problems: -- 8. Bernd Hofmann and Peter Mathé, A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems -- 9. Daniel Gerth, Bernd Hofmann and Christopher Hofmann, Case studies and a pitfall for nonlinear variational regularizationunder conditional stability -- 10. Mykola Krasnoschok, Sergei Pereverzyev, Sergii V. Siryk and Nataliya Vasylyeva, Regularized reconstruction of the order in semilinear subdiffusion with memory -- 11. Ronny Ramlau, Christoph Koutschan, and Bernd Hofmann, On the singular value decomposition of n-fold integration operators -- 12. Daniel Gerth and Stefan Kindermann, The Kurdyka-?ojasiewicz inequality as regularity condition -- 13. Kazufumi Ito, Value function calculus and applications. 330 $aThis volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the researches on inverse problems. The volume covers theories of inverse problems for partial differential equations, regularization methods, and related topics from control theory. This book addresses a wide audience of researchers and young post-docs and graduate students who are interested in mathematical sciences as well as mathematics. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v310 606 $aPartial differential equations 606 $aFunctional analysis 606 $aIntegral equations 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090 615 0$aPartial differential equations. 615 0$aFunctional analysis. 615 0$aIntegral equations. 615 14$aPartial Differential Equations. 615 24$aFunctional Analysis. 615 24$aIntegral Equations. 676 $a515.7242 702 $aCheng$b Jin$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLu$b Shuai$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aYamamoto$b Masahiro$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418271303316 996 $aInverse problems and related topics$9378110 997 $aUNISA