List questions from partial-differential-equations

Published on 17 Apr 2026 - 0:28

229

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2D acoustic wave: analytical solution

Published on 13 Apr 2026 - 9:20

118

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Multi-variable Chain Rule in Quasi-linear PDEs

Published on 17 Apr 2026 - 13:33

85

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Can we determine the solution to $u_t+bu=u_{xx}$ given the solution to $u_t=u_{xx}$?

Published on 14 Apr 2026 - 16:06

61

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Characteristic method , boundry conditions

Published on 11 Apr 2026 - 9:47

75

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Equation for the normal derivative of the solution of Poisson's equation

Published on 13 Apr 2026 - 10:22

439

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The dual space of the Sobolev space $W^{k,p}(\Omega)$.

Published on 12 Apr 2026 - 9:37

38

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Translating a system of polynomials into a system of partial differential equations

Published on 13 Apr 2026 - 1:06

367

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Shock trajectory deduced from Rankine-Hugoniot in Burgers' equation

Published on 12 Apr 2026 - 13:34

48

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Is the function u=0?

Published on 10 Apr 2026 - 0:36

302

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Estimates for Poisson's equation

Published on 09 Apr 2026 - 16:06

23

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Consider function $u(x)=\text{sgn}\ x_1+\text{sgn}\ x_2$ in the unit disc $B(0,1)\subset \mathbb{R}^2.$

Published on 17 Apr 2026 - 1:14

51

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Why $E(t)=\int_{\mathbb{R}}|u(x,t)|^2\,dx$ can be dfferentiated under integral sign?

Published on 14 Apr 2026 - 22:27

49

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Under what conditions the operator $-\sum \partial_{x_i} a_{ij} \partial_{x_j}$ is self-adjoint?

Published on 25 Mar 2026 - 7:43

5k

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Necessary and Sufficient Conditions for the Solution of Neumann Problem

Published on 10 Apr 2026 - 23:36

List Question

Definition of upper $\epsilon$-envelope of a function

2D acoustic wave: analytical solution

Multi-variable Chain Rule in Quasi-linear PDEs

Can we determine the solution to $u_t+bu=u_{xx}$ given the solution to $u_t=u_{xx}$?

Characteristic method , boundry conditions

Equation for the normal derivative of the solution of Poisson's equation

The dual space of the Sobolev space $W^{k,p}(\Omega)$.

Translating a system of polynomials into a system of partial differential equations

Shock trajectory deduced from Rankine-Hugoniot in Burgers' equation

Is the function u=0?

Estimates for Poisson's equation

Consider function $u(x)=\text{sgn}\ x_1+\text{sgn}\ x_2$ in the unit disc $B(0,1)\subset \mathbb{R}^2.$

Why $E(t)=\int_{\mathbb{R}}|u(x,t)|^2\,dx$ can be dfferentiated under integral sign?

Under what conditions the operator $-\sum \partial_{x_i} a_{ij} \partial_{x_j}$ is self-adjoint?

Necessary and Sufficient Conditions for the Solution of Neumann Problem

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