Trần Đức Vân

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Ấn phẩm

1. 1. Trần Văn Bằng, Trần Đức Vân, Viscosity solutions of the Cauchy problem for second-order nonlinear partial differential equations in Hilbert spaces, Electron. J. Differential Equations 2006, 15 pp. (2006)
2. 2. Trần Đức Vân, Nguyen Duy Thai Son, Hopf-Lax-Oleinik-type estimates for viscosity solutions to Hamilton-Jacobi equations with concave-convex data, Vietnam Journal of Mathematics, 34 (2006), 209 - 239. (2006)
3. 3. Trần Đức Vân, Hopf-Lax-Oleinik type formulas for Hamilton-Jacobi equations, NXB Đại học Quốc gia Hà Nội, 2004, 280p. (in Vietnamese) (2004)
4. 4. Trần Đức Vân, Hopf-Lax-Oleinik-type formulas for viscosity solutions to some Hamilton-Jacobi equations, Vietnam Journal of Mathematics, 32 (2004), 241-275 (2004)
5. 5. Nguyen Huu Tho, Trần Đức Vân, Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data, Electronic Journal of Differential Equations, 2003, N0 59, 11 p. (electronic). (2003)
6. 6. Trần Đức Vân, Trần Văn Bằng, Good solutions of fully nonlinear parabolic equations, Selcuk Journal of Applied Mathematics, 3 (2002), N0 1, 100 - 111. (2002)
7. 7. Trần Đức Vân, Mai Duc Thanh, Nguyen Huu Tho, On Lax-Oleinhik-type formulas for weak solutions to scalar conservation laws, Vietnam Journal of Mathematics, 30 (2002), 195 - 200 (2002)
8. 8. Trần Đức Vân, Partial differential equation II (in Vietnamese) – Phương trình vi phân đạo hàm riêng, Tập 1, NXB Đại học Quốc gia Hà Nội, 2001, 250 trang. (2001)
9. 9. Trần Đức Vân, Mai Duc Thanh, On explicit viscosity solutions to nonconvex-nonconcave Hamilton-Jacobi equations. Dedicated to Pham Huu Sach on the occasion of his sixtieth birthday, Acta Mathematica Vietnamica, 26 (2001), N0 3, 395 - 405. (2001)
10. 10. Trần Đức Vân, Mai Duc Thanh, The Oleinik-Lax-type formulas for multi-time Hamilton-Jacobi equations, Adv. Math. Sci. Appl. 10 (2000), 239 - 264. (2000)
11. 11. Trần Đức Vân, Partial differential equation I (in Vietnamese) – Phương trình vi phân đạo hàm riêng, Tập 1., NXB Đại học Quốc gia Hà Nội, 2000, 255 trang. (2000)
12. 12. Trần Đức Vân, ‎MIko Tsuji, Nguyen Duy Thai Son, The characteristic method and its generalizations for first-order nonlinear partial differential equations, Chapman & Hall / CRC, Monographs and Surveys in Pure and Applied Mathematics, 101. Boca Raton-London-New York-Washing ton, D. C., 1999, 256p. (1999)
13. 13. Trần Đức Vân, Nguyen Hoang, Nguyen Duy Thai Son, Explicit global Lipschitz solutions to first order nonlinear partial differential equations, Vietnam J. Math. 27 (1999), 93 - 114 (1999)
14. 14. Trần Đức Vân, Le Van Hap, Nguyen Duy Thai Son, On some differential inequalities and the uniqueness of global semiclassical solutions to the Cauchy problem for weakly-couple systems, J. Inequal. Appl. 2 (1998), 357 - 372. (1998)
15. 15. Trần Đức Vân, Mai Duc Thanh, R. Gorenflo, A Hopf-type formula for $\frac{{\partial u}{\partial t} + H (t, u, Du) = 0$, Vietnam J. Math. 26 (1998), 385 - 389 (1998)
16. 16. Trần Đức Vân, Nguyen Duy Thai Son, Le Van Hap, Partial differential inequalities of Haar type and their applications to the uniqueness problem., Vietnam J. Math. 26 (1998), 1 - 28 (1998)
17. 17. Nguyen Duy Thai Son, Nguyen Dac Liem, Trần Đức Vân, Minimax solutions for monotone systems of first order nonlinear partial differential equations with time-measurable Hamiltonian, Funkcialaj Ekvacioj, 40 (1997), 185 - 214. (1997)
18. 18. Trần Đức Vân, Nguyen Hoang, Mikio Tsuji, On Hopf's formulas for Lipschitz solutions of Cauchy problems for Hamilton-Jacobi equations, Nonlinear Analysis: Theory, Methods & Applications 29 (1997), 1145 - 1159. (1997)
19. 19. Trần Đức Vân, Nguyen Duy Thai Son, Nguyen Dac Liem, Minimax solutions for some systems of first-order nonlinear partial differential equations with time-measurable hamiltonian, In: Proceeding of "Structure of Solutions of Differential Equations", Katata/Kyoto, 1995 (M. Morimoto and T. Kawai, eds.), 499 - 511, World Sci. Publishing, 1996. (1996)
20. 20. Trần Đức Vân, N. Hoang, On the existence of global solutions of the Cauchy problem for Hamilton-Jacobi equations, SEA Bull. Math. 20 (1996), 81 - 88. (1996)
21. 21. Trần Đức Vân, Nguyễn Sĩ Minh, N. S. A. Tuan, The space of exponential functions associated with a class of differential operators and application, Proc. of Inter. Confernce on Applied Analysis and Mechanics of Continouns Media, Hochiminh city, 12 (1995), 268 - 281 (1995)
22. 22. Trần Đức Vân, Đinh Nho Hào, Differential operators of infinite order with real arguments and their applications, World Scientific Publishing Co., Inc., River Edge, NJ, 240 pages, 1994 (1994)
23. 23. Trần Đức Vân, Đinh Nho Hào, Pseudodifferential operators with real analytic symbols and approximation methods for pseudodifferential equations, Mathematical Methods in the Applied Sciences, 15 (1992), 239 - 264. (1992)
24. 24. Đinh Nho Hào, Trần Đức Vân, R. Gorenflo, Towards the Cauchy problem for the Laplace equation, Banach Center Publ. 27 (1992), 111 - 128. (1992)
25. 25. Trần Đức Vân, Đinh Nho Hào, Trinh Ngoc Minh, R. Gorenflo, On the Cauchy problems for systems of partial differential equations with a distinguished variable., Numerical Functional Analysis and Optimization, 12 (1991), 213 - 236. (1991)
26. 26. Đinh Nho Hào, Trần Đức Vân, R. Gorenflo, Approximating the solution to the Cauchy problem and the boundary value problem for the Laplace equation, In: Theory and Practice of Geophysical Data Inversion (eds.: A. Vogel et al.), Vieweg & Sohn, Braunschweig/Wiesbaden, 1990, 35 - 48 (1990)
27. 27. Trần Đức Vân, "Traces" of functions from Sobolev-Orlicz classes of infinite order, Acta Mathematica Vietnamica, 7 (1982), 97 - 108 (1982)
28. 28. Trần Đức Vân, On solvability of mixed problem for parabolic equations of infinite order, Trudy of Sobolev seminars, Novosibirsk, 2 (1981), 124 - 130 (1981)
29. 29. Trần Đức Vân, Elliptic equations of infinite order with arbitrary nonlinearities and corresponding function spaces, Math. Sb., 113 (155) (1980), 245 - 262; English transl.: Math. USSR Sb., 41 (1982), 203 - 216 (1980)
30. 30. Trần Đức Vân, A boundary value problem for infinite-order nonlinear ordinary differential equations with rapidly [slowly] increasing coefficients, Differ. Uravn. 16 (1980), 1037 - 1046 (in Russian). English transl.: Differential Equations 16 (1980) (1980)
31. 31. Trần Đức Vân, Resolubilite des problemes aux limites pour des equations non lineaires elliptiques d'ordre infini, C. R. Acad. Sc. Paris 290 (1980), 501 - 504 (1980)
32. 32. Trần Đức Vân, Solvability of boundary value problems for degenerate nonlinear differential equations of infinite order, Differ. Uravn. 16 (1980), 1805 - 1863; English transl.: Differential Equations 16 (1980), 1202 - 1211 (1980)
33. 33. Trần Đức Vân, Nontriviality of Sobolev-Orlicz spaces of infinite order in a bounded domain of Euclidean space, Dokl. Akad. Nauk SSSR 250 (1980), 1331 - 1334; English transl.: Soviet Math. Dokl. 21 (1980), 335 - 338 (1980)
34. 34. Trần Đức Vân, Traces of functions from Sobolev-Orlicz of infinite order and inhomogenous boundary value problem, Dokl. Akad. Nauk SSSR 254 (1980), 1357 - 1361; English transl.: Soviet Math. Dokl. 22 (1980), 626 - 630 (1980)
35. 35. Trần Đức Vân, The theory of nonlinear differential equations of infinite order and corresponding function spaces, Dr. Sc. Thesis, Institute of Math., USSR Academy of Sciences, Novosibirsk, 1980, 230 p (1980)
36. 36. Trần Đức Vân, On nontriviality of Sobolev spaces with weights of infinite order and solvability of boundary value problem for nonlinear equations, Differ. Uravn. 15 (1979), 507 - 513; English transl.: Differential Equations, 15 (1979), 354 - 358 (1979)
37. 37. Trần Đức Vân, Some extensions of the theory of quasianalytic classes, Proc. of Moscow Power Engineering Institute, 412 (1979), 120 - 124 (1979)
38. 38. Trần Đức Vân, Sobolev spaces of infinite order with weights in a layer and solvability of boundary value problem for degenerate nonlinear elliptic equations, Dokl. Acad. Nauk SSSR 240 (1978), 794 - 797. English transl.: Soviet Math. Dokl. 19 (1978), 699 - 702 (1978)
39. 39. Trần Đức Vân, Boundary value problems for nonlinear degenerate ordinary differential equations of infinite order, Differ. Uravn. 14 (1978), 2002 - 2011; English transl.: Differential Equations 14 (1978) (1978)
40. 40. Trần Đức Vân, V. I. Korzuk, Normal solvability of transmission problems for elliptic equations, Izv. Akad. Nauk BSSR, Ser. Math. 6 (1978), 30 - 36 (1978)
41. 41. Trần Đức Vân, V. I. Korzuk, Mozolevskii, Transmission problems for some elliptic systems, In: Proc. of USSR conference on ``Theory of Partial Differential equations", MGU, Moscow, 1978, 215 - 217 (1978)
42. 42. Trần Đức Vân, Solvability of some nonlinear differential equations of infinite orderIn: Proc. of USSR Summer School on Theory of Operator, Minsk, 1978, 159 - 160, In: Proc. of USSR Summer School on Theory of Operator, Minsk, 1978, 159 - 160 (1978)
43. 43. Trần Đức Vân, The transmission problems for elliptic systems of partial differential equations, Ph.D. Thesis, Belorussian State University, 1977, 110 p (1977)
44. 44. Trần Đức Vân, On transmission problems for systems of ordinary differential equations, Differ. Uravn. 12 (1976), No8, 1462-1469; English transl.: Differential Equations 12 (1976) (1976)
45. 45. Trần Đức Vân, V. I. Korzuk, Apriori estimates for solutions of transmission problems for differential equations I, Izv. Acad. Nauk BSSR, Ser. Math. 3 (1976), 39 - 47 (1976)
46. 46. Trần Đức Vân, V. I. Korzuk, Apriori estimates for solutions of transmission problems for differential equations II, Izv. Acad. Nauk BSSR, Ser. Math. 4 (1976), 53 - 60 (1976)
47. 47. Trần Đức Vân, V. I. Korzuk, Transmission problems for elliptic systems of differential equations,, In: Proc. of the 1975 Congress of Belorussian Mathematicians, Minsk, 1975, 54 - 55 (in Russian) (1975)
48. 48. Trần Đức Vân, Apriori estimates for solutions of transmission problems for differential equations of different orders, Dokl. Acad. Nauk BSSR 19 (1975), 488 - 491 (1975)