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Laptev, Gennady Gennadievich
Statistics Math-Net.Ru
Total publications: 13
Scientific articles: 13

Number of views:
This page:684
Abstract pages:4654
Full texts:1748
References:706
Candidate of physico-mathematical sciences (2000)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 02.09.1974
E-mail:
Keywords: nonlinear partial differential equations; existence of solutions; nonexistence of solutions.
   
Main publications:
  • Laptev G. G. Some nonexistence results for higher-order evolution inequalities in cone-like domains // Electron. Res. Announc. Amer. Math. Soc., 2001, 7, 87–93.

https://www.mathnet.ru/eng/person8929
List of publications on Google Scholar
https://zbmath.org/authors/ai:laptev.gennady-g
https://mathscinet.ams.org/mathscinet/MRAuthorID/644042

Publications in Math-Net.Ru Citations
2003
1. G. G. Laptev, “Non-existence of global solutions for higher-order evolution inequalities in unbounded cone-like domains”, Mosc. Math. J., 3:1 (2003),  63–84  mathnet  mathscinet  zmath  isi 12
2. G. G. Laptev, “Absence of solutions to higher-order evolution differential inequalities”, Sibirsk. Mat. Zh., 44:1 (2003),  143–159  mathnet  mathscinet  zmath; Siberian Math. J., 44:1 (2003), 117–131  isi 1
2002
3. G. G. Laptev, “Absence of solutions of differential inequalities and systems of hyperbolic type in conic domains”, Izv. RAN. Ser. Mat., 66:6 (2002),  65–90  mathnet  mathscinet  zmath; Izv. Math., 66:6 (2002), 1147–1170 8
4. G. G. Laptev, “On the nonexistence of solutions of elliptic differential inequalities in a neighborhood of a conic point of the boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 9,  50–59  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 46:9 (2002), 48–57
5. G. G. Laptev, “Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains”, Mat. Zametki, 71:6 (2002),  855–866  mathnet  mathscinet  zmath  elib; Math. Notes, 71:6 (2002), 782–793  isi  scopus 2
6. G. G. Laptev, “Nonexistence of global solutions to parabolic porous-medium equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1191–1199  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:8 (2002), 1146–1153 2
2001
7. G. G. Laptev, “Non-existence of solutions of semilinear parabolic differential inequalities in cones”, Mat. Sb., 192:10 (2001),  51–70  mathnet  mathscinet  zmath  elib; Sb. Math., 192:10 (2001), 1471–1490  isi  scopus 6
8. G. G. Laptev, “On the Absence of Solutions for a Class of Singular Semilinear Differential Inequalities”, Trudy Mat. Inst. Steklova, 232 (2001),  223–235  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 232 (2001), 216–228 34
2000
9. G. G. Laptev, “The absence of global positive solutions of systems of semilinear elliptic inequalities in cones”, Izv. RAN. Ser. Mat., 64:6 (2000),  107–124  mathnet  mathscinet  zmath; Izv. Math., 64:6 (2000), 1197–1215  isi  scopus 20
1999
10. G. G. Laptev, “An Interpolation Method for Deriving a priori Estimates for Strong Solutions to Second-Order Semilinear Parabolic Equations”, Trudy Mat. Inst. Steklova, 227 (1999),  180–191  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 227 (1999), 173–185 1
1998
11. G. G. Laptev, “Existence of strong solutions of second-order semilinear parabolic systems”, Differ. Uravn., 34:12 (1998),  1634–1639  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1639–1645 1
12. G. G. Laptev, “A priori estimates and the existence of strong solutions of semilinear parabolic systems”, Differ. Uravn., 34:4 (1998),  518–522  mathnet  mathscinet; Differ. Equ., 34:4 (1998), 516–521 1
13. G. G. Laptev, “A priori estimates of strong solutions of semilinear parabolic equations”, Mat. Zametki, 64:4 (1998),  564–572  mathnet  mathscinet  zmath  elib; Math. Notes, 64:4 (1998), 488–495  isi 1

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