List questions from partial-differential-equations

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PDE to obtain function $(x,y)\mapsto C x^{\alpha} y^{1-\alpha}$

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Showing the Monge-Ampere equation is elliptic

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An inequality for Sobolev functions

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Book about solutions to heat equation in multiple variables?

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Transforming a second order PDE

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Difference of fundamental solutions

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Interpolation inequality on $L^p$ space

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Why are diffusion equations typically formulated using $-\partial_{x}(D\partial_{x}u)$ when Fokker--Planck has $-\partial_{xx}^{2}(Du)$

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Show minus Laplacian operator is densely defined on $L^2$

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heat equation stability condition random walk

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Transport equation $p_t - (xp)_x = 0$ for density of substance

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Derivation of Fokker Planck forward equation

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Local uniqueness of solution for quasi linear PDE

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Prove an inequality about $L^2$ norm

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List Question

Energy methods for Euler - Bernoulli beam equations

PDE to obtain function $(x,y)\mapsto C x^{\alpha} y^{1-\alpha}$

Showing the Monge-Ampere equation is elliptic

An inequality for Sobolev functions

Book about solutions to heat equation in multiple variables?

Transforming a second order PDE

Difference of fundamental solutions

Interpolation inequality on $L^p$ space

Why are diffusion equations typically formulated using $-\partial_{x}(D\partial_{x}u)$ when Fokker--Planck has $-\partial_{xx}^{2}(Du)$

Show minus Laplacian operator is densely defined on $L^2$

heat equation stability condition random walk

Transport equation $p_t - (xp)_x = 0$ for density of substance

Derivation of Fokker Planck forward equation

Local uniqueness of solution for quasi linear PDE

Prove an inequality about $L^2$ norm

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