List questions from partial-differential-equations

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Kernel of Hankel Transform

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Complex Analysis- like results for other PDEs

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Why are the number of roots of the characteristic equation of a PDE infinite?

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Meaning of surface measure

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Find the Solution of $af_x + f_y = 0$, Where $a \not= -1$, and Where the Following Values Are Taken

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Unidirectional Non-Linear Wave Motion PDE Problem: $u_t + uu_x = 0$, with $u(x, 0) = f(x)$

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PDE Compact set

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How/Why does factoring the linear/differential operator suggest a specific change of variables?

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How to resolve this simple pde?

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How to solve the pde $f u-{xx} − 3u_{xt} − 4u_{tt} = 0$?

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The PDE $u_t = u_{xx}$ follows the path defined by $\dfrac{dx}{dt} = \pm \infty$

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Understanding this very generic divergence theorem where the open set have border $C^k$

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Discriminant (in the context of PDE classification): $b^2 - 4ac$ or $b^2 - ac$?

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$\frac{dx}{dt} = p, \frac{dy}{dt} = q$: Solution of these ODE imply the solution is constant along characteristics of the form $qx − py = constant$.

Published on 25 Mar 2026 - 1:18

List Question

solve $u_t + x (u_x)^2 = f(x), \ x \in (1,2) ,\ t \in (0,T)$ with $u(x,T) = g(x)$

Kernel of Hankel Transform

Complex Analysis- like results for other PDEs

Why are the number of roots of the characteristic equation of a PDE infinite?

Meaning of surface measure

Find the Solution of $af_x + f_y = 0$, Where $a \not= -1$, and Where the Following Values Are Taken

Unidirectional Non-Linear Wave Motion PDE Problem: $u_t + uu_x = 0$, with $u(x, 0) = f(x)$

PDE Compact set

How/Why does factoring the linear/differential operator suggest a specific change of variables?

How to resolve this simple pde?

How to solve the pde $f u-{xx} − 3u_{xt} − 4u_{tt} = 0$?

The PDE $u_t = u_{xx}$ follows the path defined by $\dfrac{dx}{dt} = \pm \infty$

Understanding this very generic divergence theorem where the open set have border $C^k$

Discriminant (in the context of PDE classification): $b^2 - 4ac$ or $b^2 - ac$?

$\frac{dx}{dt} = p, \frac{dy}{dt} = q$: Solution of these ODE imply the solution is constant along characteristics of the form $qx − py = constant$.

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