{"product_id":"the-hyperbolic-cauchy-problem-von-kunihiko-kajitani-tatsuo-nishitani","title":"The Hyperbolic Cauchy Problem","description":"The approach to the Cauchy problem taken here by the authors\nis based on theuse of Fourier integral operators with a\ncomplex-valued phase function,     which is a time function\nchosen suitably according to the geometry of the   multiple\ncharacteristics. The correctness of the Cauchy problem in\nthe  Gevrey classes for operators with hyperbolic principal\npart is shown in the first part. In the second part, the\ncorrectness of the Cauchy problem for   effectively hyperbolic\noperators is proved with a precise estimate of the   loss of\nderivatives. This method can be applied to other                    (non)\nhyperbolic problems. The text is based on a course of\nlectures    given for graduate students but will be of interest\nto researchers          interested in hyperbolic partial differential\nequations. In the latter part the reader is expected to be\nfamiliar with some theory of                   pseudo-differential operators.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540550181\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540550181","offer_id":39436734562397,"sku":"9783540550181","price":26.7,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2409271a-2cb6-4565-81b6-3cb2de86b429.jpg?v=1772259590","url":"https:\/\/shop.autorenwelt.de\/products\/the-hyperbolic-cauchy-problem-von-kunihiko-kajitani-tatsuo-nishitani","provider":"Autorenwelt Shop","version":"1.0","type":"link"}