On preservation of global solvability of controlled second kind operator equation

DOI10.13108/2020-12-1-56zbMath1463.47223OpenAlexW3019350728MaRDI QIDQ5138404

A. V. Chernov

Publication date: 3 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa503

zbMATH Keywords

Benjamin-Bona-Mahony-Burgers equationnonlinear evolution operator equation of second kind in Banach spacenonlinear Navier-Stokes systempreservation of global solvabilitystrongly nonlinear pseudo-parabolic equations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Applications of operator theory to differential and integral equations (47N20) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Nonlinear evolution equations (47J35)

Cites Work

• On blow up of generalized Kolmogorov-Petrovskii-Piskunov equation
• Self-similar solutions to a generalized Davey-Stewartson system
• On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
• Mathematical analysis of the model arising in study of chemical reactions in a catalytic cracking reactor
• Scattering for a quasilinear hyperbolic equation of Kirchhoff type
• On existence and asymptotic stability of solutions of the degenerate wave equation with nonlinear boundary conditions
• The nonlinear Klein-Gordon equation with mass decreasing to zero.
• Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class
• The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity
• Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?
• Preservation of the solvability of a semilinear global electric circuit equation
• Un teorema di unicita per le equazioni di Navier-Stokes
• Asymptotic stability of the stationary solution for a new mathematical model of charge transport in semiconductors
• Smooth finite-dimensional approximations of distributed optimization problems via control discretization
• On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator
• QUALITATIVE ANALYSIS OF THE KHOKHLOV–ZABOLOTSKAYA–KUZNETSOV (KZK) EQUATION
• Global solutions and quenching to a class of quasilinear parabolic equations
• Sixth problem of the millennium: Navier-Stokes equations, existence and smoothness
• Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem
• Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
• REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
• Liouville-type theorems for the Navier–Stokes equations
• The features of gradient methods for distributed optimal-control problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On preservation of global solvability of controlled second kind operator equation