Control design for a class of general nonlinear reaction diffusion equations

Stability in context of PDEs (35B35) Linear higher-order PDEs (35G05) Initial value problems for higher-order hyperbolic equations (35L30) Initial-boundary value problems for linear higher-order PDEs (35G16)

Cites Work

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Blow-up problems for the heat equation with a local nonlinear Neumann boundary condition
Global existence and blow-up phenomena for \(p\)-Laplacian heat equation with inhomogeneous Neumann boundary conditions
Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions
Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition
Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
Blow-up of solution for a nonlinear Petrovsky type equation with memory
Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux
Blow-up phenomena for some nonlinear parabolic problems
Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
Improvements on lower bounds for the blow-up time under local nonlinear Neumann conditions
Optimized uniform decay estimate of the solution to Petrovsky equation with memory
Dynamic properties of the \(p\)-Laplacian reaction-diffusion equation in multi-dimensional space
Dynamic properties of a nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions. I
Global existence and blow-up phenomena for divergence form parabolic equation with time-dependent coefficient in multidimensional space
Uniform stability of the solution for a memory-type elasticity system with nonhomogeneous boundary control condition
Bounds for blow-up time in nonlinear parabolic problems
Lower bounds for blow-up time in parabolic problems under Neumann conditions
Blow‐up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions
GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK
DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ

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