دانلود کتاب Degenerate parabolic equations

عنوان فارسی :

دانلود کتاب معادلات پارابولیک انحطاط

عنوان انگلیسی :

Degenerate parabolic equations

زبان : English

موضوع : Mathematics

نویسندگان : Emmanuele DiBenedetto

ناشر : Springer

ISBN (شابک) : 9783540940203, 3540940200

تعداد صفحات : 402\402

سال نشر : 1993     ویرایش :

حجم : 4 MB       فرمت : djvu

قیمت : 20000 تومان

فهرست :



Table of contents :
Cover......Page 1
Degenerate Parabolic Equations......Page 2
3540940200......Page 3
1. Elliptic equations: Harnack estimates and Holder continuity......Page 4
2. Parabolic equations: Harnack estimates and Holder continuity......Page 5
3. Parabolic equations and systems......Page 6
4. Main results......Page 7
Contents......Page 10
1. Some notation......Page 16
2. Basic facts about W^{1,p}......Page 18
3. Parabolic spaces and embeddings......Page 22
4. Auxiliary lemmas......Page 27
5. Bibliographical notes......Page 30
1. Quasilinear degenerate or singular equations......Page 31
2. Boundary value problems......Page 35
3. Local integral inequalities......Page 37
4. Energy estimates near the boundary......Page 46
5. Restricted structures: the levels k and the constant gamma......Page 53
6. Bibliographical notes......Page 55
1. The regularity theorem......Page 56
2. Preliminaries......Page 58
3. The main proposition......Page 59
4. The first alternative......Page 64
5. The first alternative continued......Page 67
6. The first alternative concluded......Page 70
7. The second alternative......Page 73
8. The second alternative continued......Page 77
9. The second alternative concluded......Page 79
10. Proof of Proposition 3.1......Page 83
11. Regularity up to t = 0......Page 84
12. Regularity up to S_T. Dirichlet data......Page 87
14. Remarks on stability......Page 89
15. Bibliographical notes......Page 90
1. Singular equations and the regularity theorems......Page 92
2. The main proposition......Page 94
3. Preliminaries......Page 96
4. Rescaled iterations......Page 99
5. The first alternative......Page 103
6. Proof of Lemma 5.1. Integral inequalities......Page 107
7. An auxiliary proposition......Page 110
8. Proof of Proposition 7.1 when (7.6) holds......Page 112
9. Removing the assumption (6.1)......Page 116
10. The second alternative......Page 117
11. The second alternative concluded......Page 121
12. Proof of the main proposition......Page 124
13. Boundary regularity......Page 125
14. Miscellaneous remarks......Page 129
15. Bibliographical notes......Page 131
1. Introduction......Page 132
2. Quasilinear parabolic equations......Page 133
3. Sup-bounds......Page 135
4. Homogeneous structures. The degenerate case p > 2......Page 137
5. Homogeneous structures. The singular case 1 < p < 2......Page 140
6. Energy estimates......Page 143
7. Local iterative inequalities......Page 146
8. Local iterative inequalities (p > max {1; \frac{2N}{N+2}})......Page 149
9. Global iterative inequalities......Page 150
10. Homogeneous structures and 1 < p leq max {1; \frac{2N}{N+2}})......Page 152
11. Proof of Theorems 3.1 and 3.2......Page 153
12. Proof of Theorem 4.1......Page 155
13. Proof of Theorem 4.2......Page 157
14. Proof of Theorem 4.3......Page 158
15. Proof of Theorem 4.5......Page 159
16. Proof of Theorems 5.1 and 5.2......Page 162
17. Natural growth conditions......Page 164
18. Bibliographical notes......Page 170
1. Introduction......Page 171
2. The intrinsic Harnack inequality......Page 172
3. Local comparison functions......Page 174
4. Proof of Theorem 2.1......Page 178
5. Proof of Theorem 2.2......Page 182
6. Global versus local estimates......Page 184
7. Global Harnack estimates......Page 186
8. Compactly supported initial data......Page 187
9. Proof of Proposition 8.1......Page 189
10. Proof of Proposition 8.1 continued......Page 192
11. Proof of Proposition 8.1 concluded......Page 194
12. The Cauchy problem with compactly supported initial data......Page 195
13. Bibliographical notes......Page 198
1. The Harnack inequality......Page 199
2. Extinction in finite time (bounded domains)......Page 203
3. Extinction in finite time (in R^N)......Page 206
4. An integral Harnack inequality for all 1 2)......Page 320
7. Comparing w and v (the case max {1; frac{2N}{N+2}}





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