A priori estimates and Liouville-type theorems for the semilinear parabolic equations involving the nonlinear gradient source

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

Gradient estimate and a Liouville theorem for a \(p\)-Laplacian evolution equation with a gradient nonlinearity.
Classification of solutions of some nonlinear elliptic equations
On the generalized Dirichlet problem for viscous Hamilton--Jacobi equations.
Asymptotic behavior of solutions for a free boundary problem with a nonlinear gradient absorption
Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
Optimal Liouville theorems for superlinear parabolic problems
A priori estimates for elliptic equations with reaction terms involving the function and its gradient
Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations
Gradient blowup rate for a semilinear parabolic equation
Fujita type results for parabolic inequalities with gradient terms
Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
Blowup time estimates for a parabolic \(p\)-Laplacian equation with nonlinear gradient terms
A note on gradient blowup rate of an inhomogeneous Hamilton-Jacobi equation
Global solutions of inhomogeneous Hamilton-Jacobi equations
Classification of blowup solutions for a parabolic \(p\)-Laplacian equation with nonlinear gradient terms
Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity
Dynamic Scaling of Growing Interfaces
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
Asymptotic Behaviour of the Gradient of Large Solutions to Some Nonlinear Elliptic Equations
Global and local behavior of positive solutions of nonlinear elliptic equations
The Dirichlet Problem for Semilinear Second-Order Degenerate Elliptic Equations and Applications to Stochastic Exit Time Control Problems
Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term
Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
Asymptotics of solutions of some nonlinear elliptic systems
A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations
Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
Superlinear Parabolic Problems
Local behaviour of the solutions of the Chipot-Weissler equation
Universal estimates and Liouville theorems for superlinear problems without scale invariance
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