Newbetuts

$\frac{\partial^2 u}{\partial t^2}-c^2\frac{\partial^2u}{\partial x^2}=0\text{ implies } \frac{\partial^2 u}{\partial z \partial y}=0$

Proof of weak maximum principle for heat-type equations

Solve $au_x+bu_y+cu=0$

Growth of Tychonov's Counterexample for Heat Equation Uniqueness

How can we prove that a non-linear equation of motion for a classical scalar field satisfies causality?

Does separation of variables in PDEs give a general solution?

Understanding the change of coordinates in differential operators

Bootstrap argument to prove regularity of a special solution

Elliptic Bootstrapping for Gauge Transformations

Proof that $a\nabla^2 u = bu$ is the only homogenous second order 2D PDE unchanged/invariant by rotation

Roadmap to Modern Research in Partial Differential Equations

Use energy method prove wave equation has a unique of solution.

Rarefaction and shock waves colliding in Burgers' equation

Energy method for damped wave equation vs heat eq.

New posts in partial-differential-equations

Why must the directional derivative $au_x + bu_y$ always be zero?

Third-order Linear Parabolic PDE

compact embedding of $H_0^1(\mathbb{R},\mathbb{C})$ into $L_2(\mathbb{R},\mathbb{C})$. [duplicate]

Finding shock curves, Burgers equation

Proof for the Laplacian of scalar fields using index notation [closed]

How to determine whether a solution of a transport PDE is classical?

$\frac{\partial^2 u}{\partial t^2}-c^2\frac{\partial^2u}{\partial x^2}=0\text{ implies } \frac{\partial^2 u}{\partial z \partial y}=0$

Proof of weak maximum principle for heat-type equations

Solve $au_x+bu_y+cu=0$

Growth of Tychonov's Counterexample for Heat Equation Uniqueness

How can we prove that a non-linear equation of motion for a classical scalar field satisfies causality?

Does separation of variables in PDEs give a general solution?

Understanding the change of coordinates in differential operators

Bootstrap argument to prove regularity of a special solution

Elliptic Bootstrapping for Gauge Transformations

Proof that $a\nabla^2 u = bu$ is the only homogenous second order 2D PDE unchanged/invariant by rotation

Roadmap to Modern Research in Partial Differential Equations

Use energy method prove wave equation has a unique of solution.

Rarefaction and shock waves colliding in Burgers' equation

Energy method for damped wave equation vs heat eq.