Newbetuts

How to show that the divergence can be written as the trace of total covariant derivative, ${\rm div}={\rm tr}\circ\nabla$?

Source of the "$\cosh$ trick" for Laplacian eigenfunctions or Helmholtz equation solutions?

Solving $u_t=4u_{xx}+\sin{(\pi x)}+\sin{(2\pi x)}$ using an eigenfunction expansion

Looking for a closed form solution $P_{n+2}(x)=x^2 P'_{n+1}(x)+(n+1)xP_{n+1}(x)-(n+1)P'_n(x) $

Approximate Holder continuous functions by smooth functions

Poisson's equation with Robin boundary conditions

Double Sequences solving method

Dirichlet Problem for the Heat Equation

Heat Equation With a Nonlinear Term

Ellipticity of Ricci tensor, does it depend on coordinates?

References for learning real analysis background for understanding the Atiyah--Singer index theorem

Leray-Schauder fixed point theorem

Heat Equation $u_{t} - \Delta u = \sin(u)$

A technical relation

New posts in partial-differential-equations

Optimality — Hamilton-Jacobi-Bellman (HJB) versus Riccati

Is there a geometric reason for why every map has a divergence-free Jacobian cofactor matrix?

Why is a differential equation a submanifold of a jet bundle?

Why are diffeomorphism-invariant PDE not elliptic?

How to get the idea of the formula for the mean value property for the heat equation

Translation of John Nash's 1962 Navier-Stokes paper

How to show that the divergence can be written as the trace of total covariant derivative, ${\rm div}={\rm tr}\circ\nabla$?

Source of the "$\cosh$ trick" for Laplacian eigenfunctions or Helmholtz equation solutions?

Solving $u_t=4u_{xx}+\sin{(\pi x)}+\sin{(2\pi x)}$ using an eigenfunction expansion

Looking for a closed form solution $P_{n+2}(x)=x^2 P'_{n+1}(x)+(n+1)xP_{n+1}(x)-(n+1)P'_n(x) $

Approximate Holder continuous functions by smooth functions

Poisson's equation with Robin boundary conditions

Double Sequences solving method

Dirichlet Problem for the Heat Equation

Heat Equation With a Nonlinear Term

Ellipticity of Ricci tensor, does it depend on coordinates?

References for learning real analysis background for understanding the Atiyah--Singer index theorem

Leray-Schauder fixed point theorem

Heat Equation $u_{t} - \Delta u = \sin(u)$

A technical relation