Foundations of the Classical Theory of Partial Differential Equations, Volume 1

Couverture
Springer Science & Business Media, 17 mars 1998 - 259 pages

From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993

 

Pages sélectionnées

Table des matières

I
6
II
7
III
8
IV
9
V
10
VI
11
VII
12
VIII
21
LXI
136
LXII
137
LXIII
138
LXIV
141
LXVI
144
LXVII
145
LXVIII
148
LXIX
149

IX
28
X
31
XII
33
XIII
35
XIV
37
XV
39
XVI
41
XVII
45
XVIII
47
XIX
48
XX
51
XXI
53
XXII
55
XXIII
57
XXIV
58
XXV
61
XXVI
62
XXVII
65
XXVIII
68
XXIX
69
XXX
71
XXXI
73
XXXII
75
XXXIII
77
XXXIV
78
XXXV
80
XXXVI
81
XXXVII
82
XXXIX
83
XL
85
XLI
87
XLIII
88
XLIV
90
XLV
91
XLVI
92
XLVIII
94
XLIX
97
L
99
LI
100
LII
102
LIII
104
LIV
110
LV
111
LVI
113
LVII
119
LVIII
122
LIX
132
LX
134
LXX
150
LXXI
153
LXXII
157
LXXIII
159
LXXIV
162
LXXV
163
LXXVI
164
LXXVII
166
LXXVIII
167
LXXIX
168
LXXX
169
LXXXI
170
LXXXIII
172
LXXXIV
173
LXXXV
174
LXXXVI
176
LXXXVII
177
LXXXVIII
179
LXXXIX
181
XC
183
XCI
184
XCII
189
XCIII
190
XCIV
191
XCV
192
XCVI
193
XCVII
195
XCVIII
199
XCIX
201
C
206
CI
207
CII
210
CIII
211
CIV
214
CV
215
CVI
216
CVII
218
CVIII
220
CX
223
CXI
226
CXII
228
CXIII
236
CXIV
238
CXV
242
CXVI
248
CXVII
251
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Autres éditions - Tout afficher

Foundations of the Classical Theory of Partial Differential Equations
Yu.V. Egorov,M.A. Shubin
Aperçu limité - 2013
Foundations of the Classical Theory of Partial Differential Equations
Yu.V. Egorov,M.A. Shubin
Aucun aperçu disponible - 2011

Expressions et termes fréquents

analytic arbitrary assume asymptotic boundary conditions boundary-value problem bounded region called Cauchy problem compact set complete orthogonal system consider constant coefficients continuous convergence convolution corresponding defined denote derivatives described Dirichlet problem distribution ƒ eigenfunctions eigenvalues elliptic equivalent estimate example exists exterior finite follows formula Fourier transform function ƒ fundamental solution Green's function H¹(N harmonic function Hilbert holds homogeneous Hörmander hyperbolic operator imbedding infinity initial conditions integral Laplace's equation Laplacian linear matrix neighborhood Neumann problem norm obtain parabolic particular Petrovskij Poisson's Poisson's equation polynomial potential right-hand side satisfies the equation second-order Sect self-adjoint Shilov smooth boundary Sobolev spaces solution of Eq solvable surface symmetric system of eigenfunctions Theorem theory topology unique solution values variables vector vector-valued function verify well-posed zero ди მა მე

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Informations bibliographiques

TitreFoundations of the Classical Theory of Partial Differential Equations, Volume 1
Classics in mathematics
Volume 30 de Encyclopaedia of mathematical sciences
AuteursYu.V. Egorov, M.A. Shubin
Traduit parR. Cooke
Éditionillustrée, réimprimée
ÉditeurSpringer Science & Business Media, 1998
ISBN3540638253, 9783540638254
Longueur259 pages
  
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