Explicit blowing up solutions for a higher order parabolic equation with Hessian nonlinearity
DOI10.1007/s10884-021-10094-2zbMath1529.35085arXiv2103.02344WikidataQ114225804 ScholiaQ114225804MaRDI QIDQ6142269
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Publication date: 21 December 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.02344
explicit solutionsfourth-order partial differential equationsfinite time blow-upcomplete blow-upinfinite time blow-upHessian nonlinearity
Initial-boundary value problems for higher-order parabolic equations (35K35) Solutions to PDEs in closed form (35C05) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)
Cites Work
- On polyharmonic regularizations of \(k\)-Hessian equations: variational methods
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\)
- \(L^{2}\)-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian
- Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
- Asymptotic behavior for a fourth-order parabolic equation involving the Hessian
- Some fourth order nonlinear elliptic problems related to epitaxial growth
- Existence of radial solutions to biharmonic \(k\)-Hessian equations
- Global existence and blow-up for a fourth order parabolic equation involving the Hessian
- Lifespan of solutions to a fourth order parabolic PDE involving the Hessian modeling epitaxial growth
- The fractional Keller–Segel model
- Existence results for a fourth order partial differential equation arising in condensed matter physics
- On radial stationary solutions to a model of non-equilibrium growth
- Origins of scaling relations in nonequilibrium growth
- Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth
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