Green's function of a Laplacian on a Torus does not exist?
My answer is No, it does not exist. Appreciate your help If I am wrong.
2026-03-26 09:40:31.1774518031
Green's function of a Laplacian on a Torus does not exist?
147 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
- how is my proof on equinumerous sets
- Finding radius of convergence $\sum _{n=0}^{}(2+(-1)^n)^nz^n$
- Optimization - If the sum of objective functions are similar, will sum of argmax's be similar
- On sufficient condition for pre-compactness "in measure"(i.e. in Young measure space)
- Justify an approximation of $\sum_{n=1}^\infty G_n/\binom{\frac{n}{2}+\frac{1}{2}}{\frac{n}{2}}$, where $G_n$ denotes the Gregory coefficients
- Calculating the radius of convergence for $\sum _{n=1}^{\infty}\frac{\left(\sqrt{ n^2+n}-\sqrt{n^2+1}\right)^n}{n^2}z^n$
- Is this relating to continuous functions conjecture correct?
- What are the functions satisfying $f\left(2\sum_{i=0}^{\infty}\frac{a_i}{3^i}\right)=\sum_{i=0}^{\infty}\frac{a_i}{2^i}$
- Absolutely continuous functions are dense in $L^1$
- A particular exercise on convergence of recursive sequence
Related Questions in PARTIAL-DIFFERENTIAL-EQUATIONS
- PDE Separation of Variables Generality
- Partial Derivative vs Total Derivative: Function depending Implicitly and Explicitly on Variable
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Harmonic Functions are Analytic Evan’s Proof
- If $A$ generates the $C_0$-semigroup $\{T_t;t\ge0\}$, then $Au=f \Rightarrow u=-\int_0^\infty T_t f dt$?
- Regular surfaces with boundary and $C^1$ domains
- How might we express a second order PDE as a system of first order PDE's?
- Inhomogeneous biharmonic equation on $\mathbb{R}^d$
- PDE: Determine the region above the $x$-axis for which there is a classical solution.
- Division in differential equations when the dividing function is equal to $0$
Related Questions in LAPLACIAN
- Polar Brownian motion not recovering polar Laplacian?
- Trivial demonstration. $\nabla J(r,t)=\frac{\hbar}{im}\nabla\psi^{*}\nabla\psi+\frac{\hbar}{im}\psi\nabla^2\psi$
- Bochner nonnegativity theorem for Laplace-Beltrami eigenfunctions?
- Physicists construct their potentials starting from the Laplace equation, why they do not use another differential operator, like theta Θ?
- Integral of the Laplacian of a function that is constant on the sphere
- Trying to show 9 point laplacian equivalence
- Does the laplacian operator work on time as well as spacial variables?
- Find the Green's function $G(\mathbf{x},\xi)$, such that $\nabla^2G = \delta(\mathbf{x}-\xi)$
- Laplace-Beltrami operator in $\mathbb{R}^m$
- demonstration of vector laplacian in cartesian coordinates
Related Questions in GREENS-FUNCTION
- Why can Laplace’s Equation have a Green’s Function?
- How do I sum Green's functions to get an approximate solution?
- Who did develop the transfer function formalism?
- Green's function on Riemann surfaces of $\partial_{\bar z}$
- Could anyone help me to solve the following differential equation?
- Finding Greens Function using the delta function
- Find the Green's function $G(\mathbf{x},\xi)$, such that $\nabla^2G = \delta(\mathbf{x}-\xi)$
- Green function for high order Laplacian
- Using Green's function to solve 2d laplace equation
- Green kernel for Dirichlet problem of Stokes flow PDE's $\nabla p = \Delta\vec{v}, \nabla\cdot\vec{v}=0$ on a sphere
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?