# 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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### Reference: Result of interior parabolic regularity theory for Hamilton–Jacobi equations

Does anyone know the parabolic regularity result that Ben-Artzi used in the article The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces used to prove that the solution to the ...
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### Traveling wave solutions for epidemic mathematical models

We know that traveling wave solutions are studied in order to obtain the speed of dengue dissemination in partial differential equation systems related to epidemic diseases such as Dengue. On the ...
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### Well-posedness or existence for a Poisson problem in Orlicz spaces

I know that the problem \begin{equation} \Delta_p u = f \end{equation} make sense if $f \in L^q$ with $n/p<q<n$ and that is there a existence theory for $$u_t -\Delta_p u = f$$ For a given ...
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### Free programs suggestions to simulate parabolic EDPs

I'm interested in learning how to computationally simulate the behavior of parabolic partial differential equations, but I don't know where to start, what are the best free programs to use and where ...
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### Continuity of solutions of Elliptic PDE with respect to parameters

Let $\alpha \in \mathbb{R}$ and $u_\alpha$ satisfy $$\Delta u_\alpha+e^{u_\alpha}=\alpha f(x), \ \ \ \ x\in \mathbb{R}^2$$ where $f$ is a fast decaying smooth function. I would like to know how the ...
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### Distance function to mean curvature flow

In Ilmanen's monograph on elliptic regularization and mean curvature flow, the following claim is made. (Just for reference, this is on page 60.) For the proof—apparently standard calculations—the ...