# Questions tagged [parabolic-pde]

Questions about partial differential equations of parabolic type. Often used in combination with the top-level tag ap.analysis-of-pdes.

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### $C^{2+\alpha}$ proprieties

Let $0<\alpha<1$ and $\Omega\subset \mathbb{R}^n$ a $C^{2+\alpha}$ bounded domain. Hi! I am reading the paper: How to appoximate the heat equation with Neumann Boundary Condition by nonLocal ...
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### Convergence of the product of three sequences

Let $Q=(0,T)\times \Omega$, $\Omega$ being a bounded subset of $\mathbb R^d$, sufficiently smooth. Consider three sequences $u_n$, $v_n$, and $w_n$ such that: $u_n$ is bounded in $L^\infty(Q)$ ...
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### Regularity structures vs Renormalization

What are the substantial differences in the theory of "Regularity Structures" versus perturbative renormalization from Quantum Field Theory? The idea that to treat divergences inherent to ...
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### Two-sided estimates of fundamental solutions of second-order parabolic equations

I am reading the paper Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications by F.O. Porper and S.D. Eidel'man. Below, the cited paper is [2] :S.D. ...
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### Nontrivial invariant transformations for heat equations

It is well known that if $u$ is a harmonic function on $\mathbb R^2$ then its Kelvin transform defined by $$v(r,\theta) = u(\frac{1}{r},\theta)$$ is also harmonic for $r>0$. Note that the Kelvin ...
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