Partial Differential Equations: Methods and Applications

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清华大学出版社有限公司, 1996 - Differential equations, Partial - 420 pages
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Contents

V
11
VII
23
VIII
29
IX
39
X
43
XI
49
XII
59
XIII
74
XXXVII
225
XXXIX
233
XL
241
XLI
248
XLII
258
XLIV
264
XLV
283
XLVII
287

XV
83
XVI
91
XVII
95
XVIII
100
XX
108
XXI
120
XXII
126
XXIII
134
XXV
138
XXVI
146
XXVII
152
XXIX
163
XXX
171
XXXI
176
XXXII
183
XXXIII
199
XXXV
209
XXXVI
218
XLVIII
301
XLIX
308
LI
314
LII
321
LIII
327
LIV
337
LVI
350
LVII
356
LVIII
362
LX
366
LXI
372
LXII
379
LXIII
391
LXIV
410
LXV
415
LXVI
420
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Page iii - ... course in partial differential equations which I have taught at Northeastern University many times since 1980. The first term is intended to give the student a basic and classical introduction to the subject, including first-order equations by the method of characteristics and linear second @ order equations which arise in mathematical physics: the wave equation, Laplace equation, and heat equation. All of this material is more than adequately covered by many textbooks which are readily available....
Page iii - ... many textbooks which are readily available. The second term, however, is intended to introduce the student to a wide variety of more modern methods, especially the use of functional analysis, which has characterized much of the recent development of partial differential equations. This latter material is not as readily available, except in a number of specialized reference books. This textbook is intended to bridge this gap by providing the student with a basic introduction to the subject and...

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