{ "item_title" : "Some Improperly Posed Problems of Mathematical Physics", "item_author" : [" Michail M. Lavrentiev", "R. J. Sacker", "R. J. Sacker "], "item_description" : "This monograph deals with the problems of mathematical physics which are improperly posed in the sense of Hadamard. The first part covers various approaches to the formulation of improperly posed problems. These approaches are illustrated by the example of the classical improperly posed Cauchy problem for the Laplace equation. The second part deals with a number of problems of analytic continuations of analytic and harmonic functions. The third part is concerned with the investigation of the so-called inverse problems for differential equations in which it is required to determine a dif- ferential equation from a certain family of its solutions. Novosibirsk June, 1967 M. M. LAVRENTIEV Table of Contents Chapter I Formu1ation of some Improperly Posed Problems of Mathematic: al Physics1 Improperly Posed Problems in Metric Spaces. . . . . . . . .2 A Probability Approach to Improperly Posed Problems. . . 8 Chapter II Analytic Continuation1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 The Cauchy Problem for the Laplace Equation . . . . . . . 183 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity. . . . . . . . . . . . . 224 Analytic Continuation of a Function of Two Real Variables 325 Analytic Continuation of Harmonic Functions from a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 386 Analytic Continuation of Harmonic Function with Cylin drical Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . 42 Chapter III Inverse Problems for Differential Equations1 The Inverse Problem for a Newtonian Potential . . . . . . .", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/3/64/288/212/3642882129_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Customers Also Bought

Details