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A critical non-homogeneous heat equation with weighted source

open access: yesEuropean Journal of Applied Mathematics
Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source \begin{align*} |x|^{-2}\partial _tu=\Delta u+|x|^{\sigma }u^p, \quad (x,t)\in {\mathbb {R}}^N\times (0,T), \end ...
Razvan Gabriel Iagar, Ariel Sánchez
doaj   +1 more source

Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium

open access: yesOpen Mathematics, 2013
Dimova Milena   +2 more
doaj   +1 more source
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Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations

Tokyo Journal of Mathematics, 2020
Kazumasa Fujiwara   +2 more
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Existence of blow-up solutions for a class of elliptic systems

Differential and Integral Equations, 2013
Claudianor O Alves
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Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity

SIAM Journal on Mathematical Analysis, 2020
Kazuhiro Ishige, Shinya Okabe
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