Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
11 sonuçtan 1-5 arası sonuçlar
Sayfa
... - Verlag Berlin · Heidelberg 1970. Library of Congress Catalog Card Number 70-140559 . Printed in Germany . Offsetdruck : Julius Beltz , Weinheim / Bergstr . INTRODUCTION CONTENTS CHAPTER 1 · Some Problems of Integral Geometry.
... - Verlag Berlin · Heidelberg 1970. Library of Congress Catalog Card Number 70-140559 . Printed in Germany . Offsetdruck : Julius Beltz , Weinheim / Bergstr . INTRODUCTION CONTENTS CHAPTER 1 · Some Problems of Integral Geometry.
Sayfa
... Geometry IV 1 1. Problem of 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 ...
... Geometry IV 1 1. Problem of 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 ...
Sayfa
... geometry and so Chapter 1 is devoted to some aspects of it . Chapter 2 establishes uniqueness theorems for the solution to the inverse problem for the telegraph equation with the help of the results of Chapter 1 while Chapter 3 does the ...
... geometry and so Chapter 1 is devoted to some aspects of it . Chapter 2 establishes uniqueness theorems for the solution to the inverse problem for the telegraph equation with the help of the results of Chapter 1 while Chapter 3 does the ...
Sayfa 1
... geometric problems . Some differently formulated problems of integral geometry are contained in F. JOHN'S book [ 18 ] . As already indicated in the introduction , we were led to problems in integral geometry while considering linearized ...
... geometric problems . Some differently formulated problems of integral geometry are contained in F. JOHN'S book [ 18 ] . As already indicated in the introduction , we were led to problems in integral geometry while considering linearized ...
Sayfa 2
... geometric problem is also generalized by the introduction of a weight factor in the inte- grals along the curves . Section 3 considers the determination of a funct- ion inside a circle of unit radius from its integrals over a family of ...
... geometric problem is also generalized by the introduction of a weight factor in the inte- grals along the curves . Section 3 considers the determination of a funct- ion inside a circle of unit radius from its integrals over a family of ...
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 |
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