List questions from partial-differential-equations

Published on 29 Mar 2026 - 16:56

473

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Find a curve on $xy$-plane which passes through $(1, 1)$ and intersects all level curves of the function $f(x, y) = x^2e^y$ orthogonally.

Published on 19 Jun 2018 - 14:57

41

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Computation Verification (Kähler Geometry)

Published on 25 Mar 2026 - 7:39

69

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Stress Tensor (Newtonian Fluid)

Published on 20 Jun 2018 - 12:03

221

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How to prove Kato's inequality $\nabla\vert u\vert \leq \operatorname{Re}( \operatorname{sgn} u \cdot\nabla_{H}u)$?

Published on 29 Mar 2026 - 18:37

379

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Is there a version of mean value property for $p$-harmonic funcions?

Published on 06 Apr 2026 - 15:24

147

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Solution of PDE related to Dirac's Delta

Published on 25 Mar 2026 - 8:09

103

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What is so special about 1d and 2d?

Published on 27 Mar 2026 - 6:16

793

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Proof that Campanato space is embedded in Hölder continuous space

Published on 26 Mar 2026 - 1:28

91

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Are the derivatives of a $p$-harmonic function also a $p$ harmonic function?

Published on 25 Mar 2026 - 15:59

1.5k

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The Rankine-Hugoniot jump conditions for conservation and balance laws

Published on 25 Mar 2026 - 19:06

4.7k

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Analytical solution of 2D Transient Heat conduction with Neumann condition

Published on 25 Mar 2026 - 6:11

406

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Adjoint conditions in PDEs

Published on 01 Apr 2026 - 3:17

88

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Solving the PDE: $\frac{\partial\phi}{\partial t}=\frac{\partial^2\phi}{\partial x^2}-\phi f$?

Published on 21 Jun 2018 - 17:17

528

Views

formal adjoint of a vector fields

Published on 01 Apr 2026 - 9:15

List Question

What is the $U(t)=e^{iAt}=\int_{\mathbb{R}} e^{i\lambda t}dE_{\lambda} $ for $-\Delta$

Find a curve on $xy$-plane which passes through $(1, 1)$ and intersects all level curves of the function $f(x, y) = x^2e^y$ orthogonally.

Computation Verification (Kähler Geometry)

Stress Tensor (Newtonian Fluid)

How to prove Kato's inequality $\nabla\vert u\vert \leq \operatorname{Re}( \operatorname{sgn} u \cdot\nabla_{H}u)$?

Is there a version of mean value property for $p$-harmonic funcions?

Solution of PDE related to Dirac's Delta

What is so special about 1d and 2d?

Proof that Campanato space is embedded in Hölder continuous space

Are the derivatives of a $p$-harmonic function also a $p$ harmonic function?

The Rankine-Hugoniot jump conditions for conservation and balance laws

Analytical solution of 2D Transient Heat conduction with Neumann condition

Adjoint conditions in PDEs

Solving the PDE: $\frac{\partial\phi}{\partial t}=\frac{\partial^2\phi}{\partial x^2}-\phi f$?

formal adjoint of a vector fields

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