Tran Duc Van

Scientific Publications

Publications

1. 1. Tran Van Bang, Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, Hopf-Lax-Oleinik type formulas for Hamilton-Jacobi equations, Vietnam National University Press Hanoi, 2004, 280p. (in Vietnamese) (2004)
4. 4. Tran Duc Van, 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, Tran Duc Van, 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. Tran Duc Van, Tran Van Bang, Good solutions of fully nonlinear parabolic equations, Selcuk Journal of Applied Mathematics, 3 (2002), N0 1, 100 - 111. (2002)
7. 7. Tran Duc Van, 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. Tran Duc Van, Partial Differential Equations II, Vietnam National University Press Hanoi, 2001, 250 pages. (2001)
9. 9. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, Partial Differential Equations I, Vietnam National University Press Hanoi, 2000, 255 pages. (2000)
12. 12. Tran Duc Van, ‎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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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, Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, Nguyen Si 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. Tran Duc Van, Dinh Nho Hao, 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. Tran Duc Van, Dinh Nho Hao, 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. Dinh Nho Hao, Tran Duc Van, R. Gorenflo, Towards the Cauchy problem for the Laplace equation, Banach Center Publ. 27 (1992), 111 - 128. (1992)
25. 25. Tran Duc Van, Dinh Nho Hao, 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. Dinh Nho Hao, Tran Duc Van, 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. Tran Duc Van, "Traces" of functions from Sobolev-Orlicz classes of infinite order, Acta Mathematica Vietnamica, 7 (1982), 97 - 108 (1982)
28. 28. Tran Duc Van, On solvability of mixed problem for parabolic equations of infinite order, Trudy of Sobolev seminars, Novosibirsk, 2 (1981), 124 - 130 (1981)
29. 29. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, Some extensions of the theory of quasianalytic classes, Proc. of Moscow Power Engineering Institute, 412 (1979), 120 - 124 (1979)
38. 38. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, V. I. Korzuk, Normal solvability of transmission problems for elliptic equations, Izv. Akad. Nauk BSSR, Ser. Math. 6 (1978), 30 - 36 (1978)
41. 41. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, The transmission problems for elliptic systems of partial differential equations, Ph.D. Thesis, Belorussian State University, 1977, 110 p (1977)
44. 44. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, 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. Tran Duc Van, Apriori estimates for solutions of transmission problems for differential equations of different orders, Dokl. Acad. Nauk BSSR 19 (1975), 488 - 491 (1975)