Blow-up rate estimates and Liouville type theorems for a semilinear heat equation with weighted source
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Publication:1679055
DOI10.1007/s10884-015-9489-zOpenAlexW1651746536WikidataQ115383501 ScholiaQ115383501MaRDI QIDQ1679055
Publication date: 8 November 2017
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-015-9489-z
Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
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- Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations
- Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
- Existence of global solutions for a semilinear parabolic Cauchy problem.
- Blowing up at zero points of potential for an initial boundary value problem
- Liouville-type theorems and bounds of solutions of Hardy-Hénon equations
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem
- On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem
- Classification of type I and type II behaviors for a supercritical nonlinear heat equation
- The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems
- A bound for global solutions of semilinear heat equations
- Existence and nonexistence of global solutions of quasilinear parabolic equations.
- Unfocused blow up solutions of semilinear parabolic equations
- On similarity solutions of a heat equation with a nonhomogeneous nonlinearity
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Singularities of positive supersolutions in elliptic PDEs
- Blow-up results for a class of first-order nonlinear evolution inequalities
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
- Type II blow-up for the four dimensional energy critical semi linear heat equation
- Parabolic Liouville-type theorems via their elliptic counterparts
- Liouville-type theorems and universal bounds for nonnegative solutions of the porous medium equation with source
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Rate of type II blowup for a semilinear heat equation
- A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation
- Universal bounds at the blow-up time for nonlinear parabolic equations
- Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure
- Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
- Asymptotically self‐similar blow‐up of semilinear heat equations
- A priori bounds for positive solutions of nonlinear elliptic equations
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On the Cauchy Problem for Reaction-Diffusion Equations
- The critical exponents of parabolic equations and blow-up inRn
- On Nonexistence of type II blowup for a supercritical nonlinear heat equation
- Blow up rate for semilinear heat equations with subcritical nonlinearity
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
- Local behaviour of the solutions of a class of nonlinear elliptic systems
