List questions from partial-differential-equations

439

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Find the particular solution of $u_x+2u_y-4u=e^{x+y}$ satisfying the following side condition $u(x,-x) = x$

Published on 15 Apr 2026 - 9:18

2.3k

Views

Heat equation convection

Published on 09 Apr 2026 - 13:46

1k

Views

Solving the wave equation bounded by one free end and one fixed end

Published on 14 Apr 2026 - 2:07

38

Views

Show that u = 0 on the surface of V

Published on 15 Apr 2026 - 0:32

68

Views

mean curvature of a nonlinear parabolic PDE

Published on 11 May 2026 - 9:13

56

Views

Reference for the following equation

Published on 05 May 2026 - 4:36

480

Views

Two theorems about approximation by smooth functions

Published on 11 Apr 2026 - 4:52

157

Views

How to select a strongly convergent subsequence from a weak convergent sequence in $L^2$?

Published on 11 May 2026 - 10:09

329

Views

Time-dependent Schrödinger equation for Heaviside function as initial condition

Published on 13 Apr 2026 - 5:03

22.9k

Views

Solve a PDE: $ x(y^2+z)p-y(x^2+z)q=(x^2-y^2)z$

Published on 17 Apr 2026 - 15:17

325

Views

How do I solve an inhomogeneous Helmholtz boundary value problem in 2-D with a rectangular boundary?

Published on 15 May 2026 - 11:56

354

Views

Solving Black scholes PDE using Laplace transform

Published on 14 Apr 2026 - 10:33

120

Views

PDEs with Variable Coefficents: Solve $xu_x-xyu_y-u=0$ for all $ (x,y)$

Published on 15 Apr 2026 - 11:19

761

Views

Composition operator on Sobolev space

Published on 09 Apr 2026 - 12:07

48

Views

Existenence of the solution for a PDE-ODE system.

Published on 10 Apr 2026 - 15:52

List Question

Find the particular solution of $u_x+2u_y-4u=e^{x+y}$ satisfying the following side condition $u(x,-x) = x$

Heat equation convection

Solving the wave equation bounded by one free end and one fixed end

Show that u = 0 on the surface of V

mean curvature of a nonlinear parabolic PDE

Reference for the following equation

Two theorems about approximation by smooth functions

How to select a strongly convergent subsequence from a weak convergent sequence in $L^2$?

Time-dependent Schrödinger equation for Heaviside function as initial condition

Solve a PDE: $ x(y^2+z)p-y(x^2+z)q=(x^2-y^2)z$

How do I solve an inhomogeneous Helmholtz boundary value problem in 2-D with a rectangular boundary?

Solving Black scholes PDE using Laplace transform

PDEs with Variable Coefficents: Solve $xu_x-xyu_y-u=0$ for all $ (x,y)$

Composition operator on Sobolev space

Existenence of the solution for a PDE-ODE system.

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