{"product_id":"9783319952635","title":"Frontiers in Mathematics: New Results in Modern Theory of Inverse Problems and an Application in Laser Optics","description":"\u003ch1\u003eFrontiers in Mathematics: New Results in Modern Theory of Inverse Problems and an Application in Laser Optics\u003c\/h1\u003e \u003ch2\u003eFlemming, Jens\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003eThe book collects and contributes new results on the theory and practice of ill-posed inverse problems. \u003c\/div\u003e\u003cdiv\u003eDifferent notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems are discussed not only in standard settings but also in situations up to now not covered by the literature. Especially, ill-posedness of linear operators with uncomplemented null spaces is examined.\u003c\/div\u003e\u003cdiv\u003eTools for convergence rate analysis of regularization methods are extended to a wider field of applicability. It is shown that the tool known as variational source condition always yields convergence rate results. \u003c\/div\u003e\u003cdiv\u003eA theory for nonlinear inverse problems with quadratic structure is developed as well as corresponding regularization methods. The new methods are applied to a difficult inverse problem from laser optics.\u003c\/div\u003e\u003cdiv\u003eSparsity promoting regularization is examined in detail from a Banach space point of view. Extensive convergence analysis reveals new insights into the behavior of Tikhonov-type regularization with sparsity enforcing penalty.\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-09-18\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319952635\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-95264-2\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x168cm\u003c\/p\u003e \u003cp\u003ePages: 182\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46539679826060,"sku":"9783319952635","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319952635.jpg?v=1775678432","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319952635","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}