Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
Sayfa
... determined by agreement with the publisher . by Springer - Verlag Berlin · Heidelberg 1970. Library of Congress Catalog Card Number 70-140559 . Printed in Germany . Offsetdruck : Julius Beltz , Weinheim / Bergstr . INTRODUCTION CONTENTS ...
... determined by agreement with the publisher . by Springer - Verlag Berlin · Heidelberg 1970. Library of Congress Catalog Card Number 70-140559 . Printed in Germany . Offsetdruck : Julius Beltz , Weinheim / Bergstr . INTRODUCTION CONTENTS ...
Sayfa
... Determining a Function from Integrals over Ellipsoids of Revolution 2. Generalization to Analytic Curves 2 10 3. Problem of Determining a Function inside a Circle from Integrals along a Family of Curves Invariant to Rotation about the ...
... Determining a Function from Integrals over Ellipsoids of Revolution 2. Generalization to Analytic Curves 2 10 3. Problem of Determining a Function inside a Circle from Integrals along a Family of Curves Invariant to Rotation about the ...
Sayfa
... determined . Highly restrictive additional conditions are imposed on the right - hand side . Thus , in [ 17 ] and [ 20 ] , the required right - hand side in POISSON'S equation is assumed to be a function having values о and 1 only , and ...
... determined . Highly restrictive additional conditions are imposed on the right - hand side . Thus , in [ 17 ] and [ 20 ] , the required right - hand side in POISSON'S equation is assumed to be a function having values о and 1 only , and ...
Sayfa 1
... determining a function from its mean values over spheres and others to new problems which it is the purpose of this chapter to consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD ...
... determining a function from its mean values over spheres and others to new problems which it is the purpose of this chapter to consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD ...
Sayfa 2
... determining a function from its mean values over circles . Although , as we have indicated already , uniqueness has been ... determine integrals . Denote the coordinates of the second focus by u ( x , s ) from the given ( x ° , 0 ) = ( x ) ...
... determining a function from its mean values over circles . Although , as we have indicated already , uniqueness has been ... determine integrals . Denote the coordinates of the second focus by u ( x , s ) from the given ( x ° , 0 ) = ( x ) ...
İçindekiler
1 | |
Linearized Inverse Dynamic Problem for the Telegraph | 22 |
Derivation of a Nonlinear Differential Equation for | 31 |
CHAPTER 4 | 39 |
CHAPTER 5 | 52 |
Diğer baskılar - Tümünü görüntüle
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
Sık kullanılan terimler ve kelime öbekleri
absolutely integrable functions analytic function belong boundary conditions CAUCHY data chapter consider const construct continuous function corresponding Denote derive determining a function differential equation domain earth's ellipses ellipsoid of revolution exists expression family of curves following theorem function f(x,y functions u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation Inverse Kinematic Inverse Kinematic Problem inversion formula kernel L₁(D linearized inverse problem M₁ mean values multidimensional inverse problems obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₂ relations right-hand side second kind sense of HADAMARD SM,t solution to equation space STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family u₁ M,M,t unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation ду