Nonlinear Partial Differential Equations with ApplicationsSpringer Science & Business Media, 16. 9. 2005 - Počet stran: 405 This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality. |
Obsah
III | 1 |
IV | 3 |
V | 6 |
VI | 7 |
VII | 8 |
IX | 9 |
X | 10 |
XI | 14 |
LVI | 175 |
LVII | 178 |
LVIII | 185 |
LIX | 187 |
LX | 190 |
LXI | 193 |
LXII | 199 |
LXIII | 201 |
XII | 19 |
XIII | 20 |
XIV | 22 |
XV | 25 |
XVI | 27 |
XVII | 29 |
XVIII | 33 |
XIX | 35 |
XX | 40 |
XXI | 41 |
XXII | 42 |
XXIII | 46 |
XXIV | 53 |
XXV | 56 |
XXVI | 58 |
XXVII | 59 |
XXVIII | 62 |
XXIX | 69 |
XXX | 79 |
XXXI | 86 |
XXXII | 89 |
XXXIII | 93 |
XXXV | 95 |
XXXVI | 99 |
XXXVII | 102 |
XXXVIII | 103 |
XXXIX | 106 |
XL | 107 |
XLI | 109 |
XLII | 114 |
XLIII | 120 |
XLIV | 124 |
XLV | 125 |
XLVI | 129 |
XLVII | 135 |
XLVIII | 144 |
XLIX | 152 |
LI | 156 |
LII | 159 |
LIII | 161 |
LIV | 168 |
LV | 172 |
LXIV | 215 |
LXV | 221 |
LXVI | 228 |
LXVII | 232 |
LXVIII | 239 |
LXIX | 242 |
LXXI | 244 |
LXXII | 252 |
LXXIII | 255 |
LXXIV | 257 |
LXXV | 262 |
LXXVI | 267 |
LXXVII | 272 |
LXXVIII | 275 |
LXXIX | 280 |
LXXX | 286 |
LXXXI | 291 |
LXXXII | 295 |
LXXXIII | 302 |
LXXXIV | 305 |
LXXXV | 309 |
LXXXVI | 313 |
LXXXVII | 318 |
LXXXVIII | 321 |
XCI | 327 |
XCII | 332 |
XCIII | 334 |
XCIV | 335 |
XCV | 339 |
XCVI | 341 |
XCVII | 342 |
XCVIII | 351 |
XCIX | 355 |
C | 357 |
CI | 361 |
CII | 365 |
CIII | 368 |
CIV | 372 |
CV | 376 |
CVI | 383 |
| 399 | |
Další vydání - Zobrazit všechny
Nonlinear Partial Differential Equations with Applications Tomás Roubicek Náhled není k dispozici. - 2005 |
Nonlinear Partial Differential Equations with Applications Tomás Roubicek Náhled není k dispozici. - 2005 |
Běžně se vyskytující výrazy a sousloví
a-priori estimates A(uk A₁ accretive approximation assume B(uk b₁ Banach space boundary conditions bounded c₁ coercive compact consider convergence defined denote derivative differential equations dom(A dom(L dt dt embedding Example Exercise function Galerkin Galerkin method Gâteaux differentiable Green's formula Gronwall inequality growth condition hence Hint Hölder's Hölder's inequality holds implies integral L¹(I L¹(N L²(I L²(N L²(Q Lª(N Lebesgue Lemma lim inf lim sup limit passage linear Lipschitz continuous Lº(I locally convex space lower semicontinuous LP(I m-accretive Math monotone Moreover Nečas Nemytskii mapping nonlinear norm obtain Proof Proposition prove pseudomonotone radially continuous Remark satisfy sequence Sobolev space strong solution term Theorem u₁ uniformly convex unique V₁ V₂ variational inequality W¹P(N weak formulation weak solution weakly continuous ди მა
Oblíbené pasáže
Strana 388 - J. An existence theorem for weak solutions of the basic stationary semiconductor equations. Appl Anal 48, No 1-4,157-172(1993).