List questions from partial-differential-equations

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Solve using Laplace transforms

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Fourier Series - Laplace Equation - Help, I'm lost!

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Numerical solution to 2D nonlinear PDE

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Divergence operator: is it a linear continuous map on Sobolev Spaces?

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How to show that the operator on the space of functions with periodic boundary conditions is symmetric

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Use Duhamel's principle in PDE

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Solve the characteristic of the PDE $z=p^2-q^2$, and find the integral surface which passes through the parabola $4z+x^2=0,y=0$

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Local smoothing for Airy equation

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Two PDE for one matrix-valued unknown?

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Is ODE a superset of SDE and how are they diffrent?

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Fixed point equation to solve Burgers' equation IVP

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Why is $res(\Gamma(s)x^{-s}\zeta(2s)|s=\frac{1}{2}) = \frac{\Gamma(\frac{1}{2})}{2x^{\frac{1}{2}}}$?

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Branch cut of $\int_0^{\infty} \frac{x^{s-1}}{1+x}$

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On the transport equation $x \cdot \nabla u = |x|^2$

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List Question

Laplace Equation in Rectangle: Boundary Value Problem

Solve using Laplace transforms

Fourier Series - Laplace Equation - Help, I'm lost!

Numerical solution to 2D nonlinear PDE

Divergence operator: is it a linear continuous map on Sobolev Spaces?

How to show that the operator on the space of functions with periodic boundary conditions is symmetric

Use Duhamel's principle in PDE

Solve the characteristic of the PDE $z=p^2-q^2$, and find the integral surface which passes through the parabola $4z+x^2=0,y=0$

Local smoothing for Airy equation

Two PDE for one matrix-valued unknown?

Is ODE a superset of SDE and how are they diffrent?

Fixed point equation to solve Burgers' equation IVP

Why is $res(\Gamma(s)x^{-s}\zeta(2s)|s=\frac{1}{2}) = \frac{\Gamma(\frac{1}{2})}{2x^{\frac{1}{2}}}$?

Branch cut of $\int_0^{\infty} \frac{x^{s-1}}{1+x}$

On the transport equation $x \cdot \nabla u = |x|^2$

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