Existence of sign-changing bubble towers for the critical heat equation with drift term
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Publication:6640864
DOI10.3934/dcds.2024112MaRDI QIDQ6640864
Publication date: 20 November 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
critical exponentsign-changing solutionsbubble towersanisotropic parabolic equationinner-outer gluing methods
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Cites Work
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- Bubbling along boundary geodesics near the second critical exponent
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence
- Multiple blow-up solutions for an anisotropic 2-dimensional nonlinear Neumann problem
- Analysis of boundary bubbling solutions for an anisotropic Emden-Fowler equation
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk
- Fujita type phenomena for reaction-diffusion equations with convection like terms
- Nonlinear PDE with vector fields
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Two-bubble dynamics for threshold solutions to the wave maps equation
- Type II ancient compact solutions to the Yamabe flow
- Grow up and slow decay in the critical Sobolev case
- Global solutions of semilinear parabolic equations with drift term on Riemannian manifolds
- Geometry driven type II higher dimensional blow-up for the critical heat equation
- Singularity formation for the two-dimensional harmonic map flow into \(S^2\)
- Infinite-time blow-up for the 3-dimensional energy-critical heat equation
- Green's function and infinite-time bubbling in the critical nonlinear heat equation
- Type II blow-up in the 5-dimensional energy critical heat equation
- Infinite time blow-up for the fractional heat equation with critical exponent
- Bubbling solutions for supercritical problems on manifolds
- Construction of two-bubble solutions for the energy-critical NLS
- Bubble towers in the ancient solution of energy-critical heat equation
- Concentration on curves for nonlinear Schrödinger Equations
- Asymptotically self‐similar blow‐up of semilinear heat equations
- On the blow-up of solutions of a convective reaction diffusion equation
- Bubbling Blow-Up in Critical Parabolic Problems
- Construction of two-bubble solutions for energy-critical wave equations
- On Nonexistence of type II blowup for a supercritical nonlinear heat equation
- Blow up rate for semilinear heat equations with subcritical nonlinearity
- Infinite time blow-up for half-harmonic map flow from R into S1
- Multiple blow-up solutions for an anisotropic Emden Fowler equation in ${\boldsymbol{\mathbb{R}}}^{2}$
- Bubbling solutions for an anisotropic Emden-Fowler equation
- Singularity formation in the harmonic map flow with free boundary
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