Bykhovskii Érik Borisovich

Publications in Math-Net.Ru

1. On strong evolution inequalities for the equations $u_{tt}=a(t)u_{xx}$
   
   Mat. Zametki, 57:6 (1995),  913–916
2. Mathematical problems in the theory of a one-dimensional isothermic flow of gas with cavities
   
   Dokl. Akad. Nauk SSSR, 314:5 (1990),  1106–1110
3. Qualitative investigation of generalized solutions of quasilinear hyperbolic $2\times2$ systems using the entropy condition
   
   Sibirsk. Mat. Zh., 26:1 (1985),  37–43
4. A boundary value problem for a quasilinear equation of first order with arbitrary dependence of the direction of the characteristics at the boundary on the unknown function
   
   Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  416–437
5. A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions
   
   Zap. Nauchn. Sem. LOMI, 69 (1977),  3–18
6. Boundary and initial-boundary value problems “in the large” for a quasilinear conservation law
   
   Dokl. Akad. Nauk SSSR, 215:1 (1974),  17–20
7. A global boundary-value problem for a quasilinear differential equation of first order
   
   Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974),  1408–1456
8. An initial boundary value problem for the equation $u_t+a_x(u)=0$
   
   Dokl. Akad. Nauk SSSR, 202:3 (1972),  511–514
9. Certain topological questions, for finite-dimensional vector fields, connected with the theory of discontinuous solutions of systems of quasilinear conservation laws
   
   Dokl. Akad. Nauk SSSR, 186:5 (1969),  994–997
10. Automodel propagating-wave type solutions to certain quasilinear equations, especially to the equations describing a water flow in an inclined channel
    
    Dokl. Akad. Nauk SSSR, 169:4 (1966),  789–791
11. Absence in $C$, $L_p$ and $W_p^1$ ($1\le p<2$) spaces of analogues to energy inequality for the string equation with a bounded leading coefficient
    
    Dokl. Akad. Nauk SSSR, 163:5 (1965),  1047–1049
12. Nonadmissible viscosity matrices for the equations of isothermal gas motion
    
    Dokl. Akad. Nauk SSSR, 146:4 (1962),  751–753
13. On the small parameter (“vanishing viscosity”) method for a system of equations in gas dynamics
    
    Zh. Vychisl. Mat. Mat. Fiz., 2:6 (1962),  1128–1131
14. Orthogonal decomposition of the space of vector functions square-summable on a given domain, and the operators of vector analysis
    
    Trudy Mat. Inst. Steklov., 59 (1960),  5–36