Nonlinear Partial Differential Equations with Applications

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Springer Science & Business Media, Sep 16, 2005 - Mathematics - 405 pages
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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.

 

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Contents

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
CVII
399
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Page 383 - Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids, manuscript in preparation.
Page 383 - AMANN, H., QUITTNER, P.: Elliptic boundary value problems involving measures: existence, regularity, and multiplicity. Adv. Differ. Equ. 3 (1998), 753-813.

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