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Shishkov, Andrey Evgenievich
Professor
Doctor of physico-mathematical sciences (1990)

https://www.mathnet.ru/eng/person8402
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/202682

Publications in Math-Net.Ru Citations
2024
1. A. A. Kon'kov, A. E. Shishkov, “On a Dini type blow-up condition for solutions of higher order nonlinear differential inequalities”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  18–21  mathnet  elib; Dokl. Math., 110:1 (2024), 308–311
2. A. A. Kon'kov, A. E. Shishkov, “On global solutions of second-order quasilinear elliptic inequalities”, Mat. Zametki, 116:5 (2024),  759–765  mathnet; Math. Notes, 116:5 (2024), 1014–1019
2021
3. M. O. Korpusov, A. A. Panin, A. E. Shishkov, “On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type”, Izv. RAN. Ser. Mat., 85:1 (2021),  118–153  mathnet  mathscinet  zmath  elib; Izv. Math., 85:1 (2021), 111–144  isi  scopus 13
2019
4. A. E. Shishkov, Y. A. Yevgenieva, “Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations”, Mat. Zametki, 106:4 (2019),  622–635  mathnet  mathscinet  elib; Math. Notes, 106:4 (2019), 639–650  isi  scopus 7
2018
5. A. A. Kon'kov, A. E. Shishkov, “On the Absence of Global Solutions of a Class of Higher-Order Evolution Inequalities”, Mat. Zametki, 104:6 (2018),  945–947  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 930–932  isi  scopus
2013
6. E. V. Stepanova, A. E. Shishkov, “Initial evolution of supports of solutions of quasilinear parabolic equations with degenerate absorption potential”, Mat. Sb., 204:3 (2013),  79–106  mathnet  mathscinet  zmath  elib; Sb. Math., 204:3 (2013), 383–410  isi  scopus 3
2007
7. V. A. Galaktionov, S. I. Pokhozhaev, A. E. Shishkov, “Convergence in gradient systems with branching of equilibria”, Mat. Sb., 198:6 (2007),  65–88  mathnet  mathscinet  zmath  elib; Sb. Math., 198:6 (2007), 817–838  isi  elib  scopus 2
2006
8. D. A. Sapronov, A. E. Shishkov, “Asymptotic behaviour of supports of solutions of quasilinear many-dimensionsal parabolic equations of non-stationary diffusion-convection type”, Mat. Sb., 197:5 (2006),  125–160  mathnet  mathscinet  zmath  elib; Sb. Math., 197:5 (2006), 753–790  isi  scopus 6
2002
9. A. E. Shishkov, “Localized Boundary Blow-up Regimes for General Quasilinear Divergent Parabolic Equations of Arbitrary Order”, Trudy Mat. Inst. Steklova, 236 (2002),  354–370  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 236 (2002), 341–356
1999
10. A. E. Shishkov, “Dead cores and instantaneous compactification of the supports of energy solutions of quasilinear parabolic equations of arbitrary order”, Mat. Sb., 190:12 (1999),  129–156  mathnet  mathscinet  zmath; Sb. Math., 190:12 (1999), 1843–1869  isi  scopus 21
11. A. E. Shishkov, A. G. Shchelkov, “Blow-up boundary regimes for general quasilinear parabolic equations in multidimensional domains”, Mat. Sb., 190:3 (1999),  129–160  mathnet  mathscinet  zmath; Sb. Math., 190:3 (1999), 447–479  isi  scopus 18
1998
12. A. E. Shishkov, A. G. Shchelkov, “Dynamics of the supports of energy solutions of mixed problems for quasi-linear parabolic equations of arbitrary order”, Izv. RAN. Ser. Mat., 62:3 (1998),  175–200  mathnet  mathscinet  zmath; Izv. Math., 62:3 (1998), 601–626  isi  scopus 19
1996
13. A. E. Shishkov, “Propagation of perturbation in a singular Cauchy problem for degenerate quasilinear parabolic equations”, Mat. Sb., 187:9 (1996),  139–160  mathnet  mathscinet  zmath; Sb. Math., 187:9 (1996), 1391–1410  isi  scopus 9
1995
14. A. E. Shishkov, “Evolution of the support of a solution with unbounded energy of quasi-linear degenerate parabolic equation of arbitrary order”, Mat. Sb., 186:12 (1995),  151–172  mathnet  mathscinet  zmath; Sb. Math., 186:12 (1995), 1843–1864  isi 2
1993
15. A. E. Shishkov, “Dynamics of the geometry of the support of the generalized solution of a higher-order quasilinear parabolic equation in divergence form”, Differ. Uravn., 29:3 (1993),  537–547  mathnet  mathscinet; Differ. Equ., 29:3 (1993), 460–469 3
1991
16. V. F. Akulov, A. E. Shishkov, “On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains”, Mat. Sb., 182:8 (1991),  1200–1210  mathnet  mathscinet  zmath; Math. USSR-Sb., 73:2 (1992), 557–567  isi 8
17. A. E. Shishkov, I. P. Sleptsova, “Classes of uniqueness and solvability of mixed problems for some evolution equations in unbounded domains”, Sibirsk. Mat. Zh., 32:5 (1991),  166–178  mathnet  mathscinet  zmath; Siberian Math. J., 32:5 (1991), 870–881  isi 1
1990
18. A. E. Shishkov, “Uniqueness classes of generalized solutions of boundary value problems for parabolic equations in unbounded noncylindrical domains”, Differ. Uravn., 26:9 (1990),  1627–1633  mathnet  mathscinet; Differ. Equ., 26:9 (1990), 1212–1218 1
19. A. E. Shishkov, “Uniqueness classes for the solutions of the Cauchy problem for nonlinear degenerate parabolic equations”, Mat. Zametki, 48:6 (1990),  118–125  mathnet  mathscinet  zmath; Math. Notes, 48:6 (1990), 1253–1258  isi
1989
20. A. E. Shishkov, “The Phragmén–Lindelöf principle for parabolic equations in divergence form”, Sibirsk. Mat. Zh., 30:2 (1989),  203–212  mathnet  mathscinet  zmath; Siberian Math. J., 30:2 (1989), 332–339  isi
1988
21. A. E. Shishkov, “Quasilinear elliptic equations in divergence form in unbounded domains”, Differ. Uravn., 24:8 (1988),  1410–1423  mathnet  mathscinet; Differ. Equ., 24:8 (1988), 924–933 2
22. I. P. Sleptsova, A. E. Shishkov, “On the existence of generalized solutions, growing at infinity, of boundary value problems for higher-order linear parabolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 4,  61–69  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:4 (1988), 88–98
23. A. E. Shishkov, “The Phragmén–Lindelöf principle for quasi-linear divergent higher order elliptic equations”, Uspekhi Mat. Nauk, 43:4(262) (1988),  231–232  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:4 (1988), 237–238  isi 2
1987
24. A. E. Shishkov, “Behavior of generalized solutions of the Dirichlet problem for higher-order quasilinear divergence elliptic equations in a neighborhood of the boundary”, Differ. Uravn., 23:2 (1987),  308–320  mathnet  mathscinet 1
25. A. E. Shishkov, “Behavior of the solutions of the Dirichlet problem for high-order quasilinear divergence-form elliptic equations in unbounded domains”, Sibirsk. Mat. Zh., 28:6 (1987),  134–146  mathnet  mathscinet  zmath; Siberian Math. J., 28:6 (1987), 972–982  isi 4
1985
26. A. F. Tedeev, A. E. Shishkov, “Behavior of solutions and subsolutions of quasilinear parabolic equations in unbounded domains and in the neighborhood of a boundary point”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 9,  77–79  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:9 (1985), 109–113
1984
27. A. F. Tedeev, A. E. Shishkov, “Qualitative properties of solutions and subsolutions of quasilinear elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 1,  62–68  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:1 (1984), 74–82 2

Presentations in Math-Net.Ru
1. About the absence of global solutions to nonlinear evolutionary differential equations and inequalities
A. A. Kon'kov, A. E. Shishkov
Seminar on nonlinear problems of partial differential equations and mathematical physics
May 7, 2024 18:00   
2. Boundary regimes with peaking and large solutions of quasilinear parabolic equations
A. E. Shishkov
Seminar on nonlinear problems of partial differential equations and mathematical physics
September 19, 2023 18:00   
3. Very singular and large solutions of semi-linear parabolic and elliptic equations
A. E. Shishkov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 13, 2023 16:10
4. Large and supersingular solutions of semilinear elliptic and parabolic equations
A. E. Shishkov

April 20, 2023
5. Large and supersingular solutions of semilinear elliptic and parabolic equations
A. E. Shishkov

April 6, 2023 18:00
6. Суперсингулярные и большие решения полулинейных эллиптических и параболических уравнений
A. E. Shishkov

November 7, 2022 17:10
7. About sharp conditions of uniqueness of large and existence of very singular solutions to semi-linear elliptic equations
A. E. Shishkov
Seminar on nonlinear problems of partial differential equations and mathematical physics
September 14, 2021 18:00   
8. Large and very singular solutions of semi-linear elliptic equations
A. E. Shishkov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 11:00   
9. Large and very singular solutions of semi-linear elliptic equations
A. E. Shishkov
Scientific seminar on the differential and functional differential equations
May 25, 2021 12:00   
10. Large and very singular solutions of semi-linear elliptic equations
A. E. Shishkov
Seminar on nonlinear problems of partial differential equations and mathematical physics
April 27, 2021 19:30   

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