Foundations of the Classical Theory of Partial Differential Equations, Volume 1Springer 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 |
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 |
242 | |
248 | |
251 | |
Autres éditions - Tout afficher
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
Références à ce livre
Inverse Boundary Spectral Problems Alexander Kachalov,Yaroslav Kurylev,Matti Lassas Aucun aperçu disponible - 2001 |