Elliptic Partial Differential Equations of Second OrderSpringer Science & Business Media, 12.01.2001 - 517 Seiten From the reviews: "This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material has been developed from lectures at Stanford, it has developed into an almost systematic coverage that is much longer than could be covered in a year's lectures". Newsletter, New Zealand Mathematical Society, 1985 " ... as should be clear from the previous discussion, this book is a bibliographical monument to the theory of both theoretical and applied PDEs that has not acquired any flaws due to its age. On the contrary, it remains a crucial and essential tool for the active research in the field. In a few words, in my modest opinion, “. . . this book contains the essential background that a researcher in elliptic PDEs should possess the day s/he gets a permanent academic position. . . .” SIAM Newsletter |
Inhalt
I | 1 |
II | 13 |
III | 15 |
IV | 16 |
V | 17 |
VI | 19 |
VII | 21 |
VIII | 22 |
LXXXV | 225 |
LXXXVI | 227 |
LXXXVII | 230 |
LXXXVIII | 235 |
LXXXIX | 241 |
XC | 244 |
XCI | 246 |
XCII | 250 |
IX | 23 |
X | 27 |
XI | 28 |
XII | 31 |
XIII | 32 |
XIV | 33 |
XV | 36 |
XVI | 37 |
XVII | 41 |
XVIII | 45 |
XIX | 46 |
XX | 47 |
XXI | 51 |
XXII | 54 |
XXIII | 56 |
XXIV | 64 |
XXV | 67 |
XXVI | 70 |
XXVIII | 73 |
XXIX | 74 |
XXXI | 75 |
XXXII | 79 |
XXXIII | 80 |
XXXIV | 81 |
XXXV | 82 |
XXXVI | 83 |
XXXVIII | 85 |
XL | 86 |
XLI | 87 |
XLII | 89 |
XLIII | 94 |
XLIV | 100 |
XLV | 109 |
XLVI | 112 |
XLVII | 116 |
XLVIII | 120 |
XLIX | 130 |
L | 136 |
LI | 138 |
LII | 141 |
LIII | 144 |
LIV | 145 |
LV | 147 |
LVI | 149 |
LVII | 151 |
LVIII | 153 |
LIX | 154 |
LX | 155 |
LXI | 159 |
LXII | 164 |
LXIII | 167 |
LXIV | 168 |
LXV | 169 |
LXVI | 173 |
LXVIII | 177 |
LXIX | 179 |
LXX | 181 |
LXXI | 183 |
LXXII | 186 |
LXXIII | 188 |
LXXIV | 194 |
LXXV | 198 |
LXXVI | 199 |
LXXVII | 200 |
LXXVIII | 202 |
LXXIX | 209 |
LXXX | 212 |
LXXXI | 214 |
LXXXII | 216 |
LXXXIII | 219 |
LXXXIV | 220 |
XCIII | 254 |
XCIV | 255 |
XCV | 259 |
XCVI | 263 |
XCVII | 264 |
XCVIII | 267 |
XCIX | 268 |
C | 271 |
CI | 277 |
CIII | 279 |
CIV | 280 |
CV | 282 |
CVI | 286 |
CVII | 288 |
CVIII | 293 |
CIX | 294 |
CX | 300 |
CXI | 304 |
CXII | 309 |
CXIII | 315 |
CXIV | 317 |
CXV | 319 |
CXVI | 323 |
CXVII | 324 |
CXVIII | 328 |
CXIX | 331 |
CXX | 332 |
CXXI | 333 |
CXXII | 335 |
CXXIII | 337 |
CXXIV | 341 |
CXXV | 347 |
CXXVI | 353 |
CXXVII | 354 |
CXXVIII | 357 |
CXXIX | 358 |
CXXX | 359 |
CXXXI | 362 |
CXXXII | 369 |
CXXXIII | 373 |
CXXXIV | 380 |
CXXXV | 384 |
CXXXVI | 385 |
CXXXVII | 386 |
CXXXVIII | 388 |
CXXXIX | 401 |
CXL | 407 |
CXLI | 410 |
CXLII | 413 |
CXLIII | 423 |
CXLIV | 429 |
CXLV | 434 |
CXLVI | 437 |
CXLVII | 438 |
CXLVIII | 441 |
CXLIX | 443 |
CL | 446 |
CLI | 450 |
CLII | 453 |
CLIII | 463 |
CLIV | 467 |
CLV | 471 |
CLVI | 476 |
CLVII | 482 |
CLVIII | 486 |
CLIX | 488 |
CLX | 491 |
CLXI | 507 |
511 | |
516 | |
Häufige Begriffe und Wortgruppen
apply arbitrary assume B₁ B₂ ball Banach space barrier bounded domain BR(y C²(N Chapter coefficients compact Consequently converges convex Corollary D²u defined denote depending Dirichlet problem dist divergence form Du(x eigenvalues elliptic equations elliptic operators existence theorem extended follows function F gradient estimate harmonic functions Harnack inequality hence Hilbert space Hölder continuous Hölder estimate Hölder's inequality hypotheses of Theorem integral interior estimates Lemma Let ue Lu=f mapping Math matrix maximum principle mean curvature minimal surface Monge-Ampère Newtonian potential non-negative norms obtain Poisson's equation positive constants prescribed mean curvature proof of Theorem prove Q is elliptic quasilinear equations replaced result Schauder second derivatives second order Section sequence Sobolev solvable strictly elliptic structure conditions subset subsolution suppose theory unique weak solutions ΘΩ Ω Ω
Verweise auf dieses Buch
Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear ... E. Zeidler Keine Leseprobe verfügbar - 1989 |