184:
attained a doctoral candidate title (similar to a PhD) and in 1973 a
Russian doctoral degree (somewhat more prestigious than a PhD). He taught from 1966 to 1990 at the Lomonosov University and is since 1990 a professor at the
216:
of the second derivative) of the solutions of convex, completely nonlinear, second order elliptical partial differential equations and thus the existence of "classical solutions" (Theorem of Evans-Krylov). He was in 1978 at
387:
382:
377:
226:
169:
230:
212:(for work done simultaneously and independently by both Krylov and Evans). They proved the second order differentiability (
200:
equations), which were examined with stochastic methods. This led to the Evans-Krylov theory, for which he received with
189:. At the beginning of his career (starting from 1963) he, in collaboration with Dynkin, worked on nonlinear stochastic
17:
372:
357:
342:
209:
165:
234:
186:
119:
81:
367:
205:
91:
362:
222:
177:
229:. He received the Humboldt Research Award in 2001. In 1993 he was elected a member of the
213:
8:
141:
252:
Nonlinear elliptic and parabolic equations of the second order, Dordrecht, Reidel 1987
306:
201:
173:
193:, making advances in the study of convex, nonlinear partial equations of 2nd order (
157:
126:
197:
190:
351:
181:
131:
338:
287:
Krylov (1982). "Boundedly inhomogeneous elliptic and parabolic equations".
60:
333:
109:
261:
Lectures on
Elliptic and Parabolic Equations in Sobolev Spaces, AMS 2008
255:
Lectures on elliptic and parabolic equations in Hölder Spaces, AMS 1996
218:
71:
56:
164:; born 5 June 1941) is a Russian mathematician specializing in
249:
Introduction to the theory of diffusion processes, AMS 1995
233:(1993). He should not be confused with the mathematician
258:
Introduction to the theory of random processes, AMS 2002
277:
The non-linearity can be modeled by a convex function.
388:
Fellows of the
American Academy of Arts and Sciences
349:
246:Controlled diffusion processes, Springer 1980
94:for Seminal Contribution to Research (2004)
170:stochastic partial differential equations
14:
350:
286:
231:American Academy of Arts and Sciences
383:20th-century Russian mathematicians
378:21st-century Russian mathematicians
289:Izvestiya Akad. Nauk SSSR, Ser. Mat
24:
25:
399:
327:
299:
280:
271:
166:partial differential equations
162:Никола́й Влади́мирович Крыло́в
13:
1:
343:Mathematics Genealogy Project
265:
210:American Mathematical Society
154:Nicolai Vladimirovich Krylov
34:Nicolai Vladimirovich Krylov
7:
225:an invited speaker for the
10:
404:
180:, where he in 1966 under
161:
147:
137:
125:
115:
105:
98:
87:
77:
67:
39:
32:
240:
187:University of Minnesota
120:University of Minnesota
82:Moscow State University
373:Mathematical analysts
358:Soviet mathematicians
206:Leroy P. Steele Prize
92:Leroy P. Steele Prize
27:Russian mathematician
178:Lomonosov University
176:. Krylov studied at
307:"2004 Steele Prize"
174:diffusion processes
314:Notices of the AMS
235:Nikolay M. Krylov
214:Hölder continuity
202:Lawrence C. Evans
151:
150:
138:Doctoral students
100:Scientific career
18:Nicolai V. Krylov
16:(Redirected from
395:
322:
321:
311:
303:
297:
296:
284:
278:
275:
163:
127:Doctoral advisor
53:
49:
47:
30:
29:
21:
403:
402:
398:
397:
396:
394:
393:
392:
348:
347:
330:
325:
309:
305:
304:
300:
285:
281:
276:
272:
268:
243:
221:and in 1986 at
168:, particularly
78:Alma mater
63:
54:
51:
45:
43:
35:
28:
23:
22:
15:
12:
11:
5:
401:
391:
390:
385:
380:
375:
370:
365:
360:
346:
345:
339:Nikolay Krylov
336:
329:
328:External links
326:
324:
323:
298:
279:
269:
267:
264:
263:
262:
259:
256:
253:
250:
247:
242:
239:
191:control theory
149:
148:
145:
144:
139:
135:
134:
129:
123:
122:
117:
113:
112:
107:
103:
102:
96:
95:
89:
85:
84:
79:
75:
74:
69:
65:
64:
55:
41:
37:
36:
33:
26:
9:
6:
4:
3:
2:
400:
389:
386:
384:
381:
379:
376:
374:
371:
369:
368:Living people
366:
364:
361:
359:
356:
355:
353:
344:
340:
337:
335:
332:
331:
319:
315:
308:
302:
295:(3): 487–523.
294:
290:
283:
274:
270:
260:
257:
254:
251:
248:
245:
244:
238:
236:
232:
228:
224:
220:
215:
211:
207:
203:
199:
196:
192:
188:
183:
179:
175:
171:
167:
159:
155:
146:
143:
142:István Gyöngy
140:
136:
133:
132:Eugene Dynkin
130:
128:
124:
121:
118:
114:
111:
108:
104:
101:
97:
93:
90:
86:
83:
80:
76:
73:
70:
66:
62:
58:
52:(age 83)
42:
38:
31:
19:
317:
313:
301:
292:
288:
282:
273:
204:in 2004 the
194:
182:E. B. Dynkin
153:
152:
116:Institutions
99:
61:Russian SFSR
363:1941 births
110:Mathematics
68:Citizenship
50:5 June 1941
352:Categories
320:(4). 2004.
266:References
46:1941-06-05
334:Homepage
223:Berkeley
219:Helsinki
341:at the
208:of the
198:Bellman
158:Russian
72:Russian
57:Sudogda
106:Fields
88:Awards
310:(PDF)
241:Works
195:i.e.
172:and
40:Born
227:ICM
354::
318:51
316:.
312:.
293:46
291:.
237:.
160::
59:,
48:)
156:(
44:(
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.