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New posts in harmonic-functions
What is the Fourier transform of spherical harmonics?
fourier-analysis
fourier-series
harmonic-analysis
harmonic-functions
spherical-harmonics
Let $u:\mathbb{C}\rightarrow\mathbb{R}$ be a harmonic function such that $0\leq f(z)$ for all $ z \in \mathbb{C}$. Prove that $u$ is constant. [duplicate]
complex-analysis
harmonic-functions
Harmonic functions with zeros on two lines
complex-analysis
harmonic-functions
The ratio $\frac{u(z_2)}{u(z_1)}$ for positive harmonic functions is uniformly bounded on compact sets
complex-analysis
analysis
inequality
harmonic-functions
$U$ a harmonic function, prove if $U(z)=0$ on some ball in a region $G$, then $U \equiv 0$ on $G$ [duplicate]
integration
complex-analysis
harmonic-functions
Solving partial differential equation in 2d with 3 boundary conditions
ordinary-differential-equations
partial-differential-equations
harmonic-functions
boundary-value-problem
Weakly Harmonic Functions (Weak Solutions to Laplace's Equation $\Delta u=0$) and Logic of Test Function Techniques.
analysis
partial-differential-equations
harmonic-functions
You can't solve Laplace's equation with boundary conditions on isolated points. But why?
reference-request
partial-differential-equations
harmonic-functions
boundary-value-problem
potential-theory
If $u_k$ converges uniformly on $\partial \Omega$, does it converge uniformly on $\Omega$?
partial-differential-equations
harmonic-functions
maximum-principle
Show that exist a function $u$ continuous in $\overline{\Omega}$ [duplicate]
partial-differential-equations
harmonic-functions
maximum-principle
Derive the Poisson Formula for a bounded C-harmonic function in the upper half-plane.
complex-analysis
harmonic-functions
Why is it important to study the eigenvalues of the Laplacian?
analysis
partial-differential-equations
spectral-theory
harmonic-functions
How do you prove that $\ln|f(z)|$ is harmonic?
complex-analysis
harmonic-functions
Logarithm of absolute value of a holomorphic function harmonic?
complex-analysis
harmonic-functions
When does $h(x^2+y^2)$ be harmonic?
complex-analysis
harmonic-functions
Calculating a harmonic conjugate
complex-analysis
self-learning
harmonic-functions
Are spherical harmonics harmonic?
harmonic-functions
laplacian
spherical-harmonics
Two question on harmonic function
harmonic-functions
Maximum principle for subharmonic functions
real-analysis
harmonic-functions
Positive harmonic function on $\mathbb{R}^n$ is a constant?
multivariable-calculus
harmonic-functions
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