Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.

**0**

**0**answers

### Unclear inequality of L2 norms (Poisson equation for modeling flow)

**2**

**2**answers

### Can we specify the value of harmonic forms at a point?

**6**

**1**answer

### Reference Question: Boundary Value Problem for Dirac Operator on Manifold with a non-smooth boundary

**6**

**0**answers

### Counter-examples to the higher dimensional statement of the half-space theorem

**2**

**1**answer

### Reference request for weak solutions of an Elliptic PDE

**3**

**0**answers

### PDE satisfied by projection of a function onto a subspace

**2**

**0**answers

### Solvability of Neumann boundary problems with singular boundary data $g \in (H^{1})^{*}$

**1**

**2**answers

### Dirichlet problem for capillary equation over convex domain

**0**

**1**answer

### Analytical testcase for 2D/3D anisotropic Diffusion (Heat Kernel)

**3**

**0**answers

### metric with curvature bounded in $L^2$

**1**

**1**answer

### Comparison principle for viscosity solution

**0**

**0**answers

### Value at $(0,0)$ of the solution to a 2D linear elliptic PDE

**0**

**0**answers

### Unstable convergence of a Poisson equation

**1**

**0**answers

### Conformal factors and light rays

**1**

**1**answer

### Classification of a system of two second order PDEs with two dependent and two independent variables

**0**

**2**answers

### Solving the Poisson equation using a random walk on $\mathbb Z ^d$

**0**

**0**answers

### Continuity of solution to 2nd Order PDE w.r.t. the coefficients

**1**

**0**answers

### Regularity for Elliptic equation with mixed boundary condition in one dimensional domain [0,1]

**10**

**3**answers

### Which matrices can be realized as the Dirichlet-to-Neumann map for a given domain?

**1**

**1**answer

### Reference request: Existence/regularity for viscous Hamilton-Jacobi equations

**3**

**0**answers

### Parametrix of external product of elliptic operators

**4**

**0**answers

### Davies' definition of elliptic operators in “Heat Kernels and Spectral Theory”

**6**

**1**answer

### Gaussian bounds for the heat kernel of regular domains in Riemannian manifolds

**2**

**1**answer

### Local existence of non-trivial solutions to first order linear elliptic system of pde

**4**

**0**answers

### Is this a pseudodifferential operator?

**2**

**0**answers

### Siu's arguments on Calabi-Yau theorem?

**0**

**0**answers

### Higher regularity of weak solution of Laplace equation with Robin condition

**0**

**1**answer

### Regularity of Laplace equation with Dirichlet data on a part of the boundary

**0**

**1**answer

### $H^2$ regularity for Laplace equation with Robin-Robin boundary condition

**2**

**1**answer

### Higher regularity of solutions for Laplace equation with mixed boundary condition

**5**

**1**answer

### Hodge Laplacian in local coordinates

**1**

**1**answer

### Inverse of holomorphic elliptic differential operator

**2**

**1**answer

### Barry Simon's decay of eigenfunctions for pseudo differential operators

**1**

**0**answers

### On the solution of Laplace equation with mixed boundary condition

**4**

**0**answers

### Sharp assumption on domain for elliptic boundary regularity

**3**

**1**answer

### Regularity of solutions to $-\Delta u = \operatorname{div} F$, $F\in L^1$

**4**

**0**answers

### global estimate for biharmonic function

**4**

**1**answer

### Is the maximal function bounded on the Besov space?

**2**

**0**answers

### Ergodic type ODE problem

**3**

**0**answers

### Generalized viscosity sub(super)solution and it's convolution

**1**

**1**answer

### schauder regularity heat equation

**4**

**1**answer

### Convolution of viscosity solutions and subharmonic functions

**2**

**1**answer

### Exponential Decay on nolinear Schrodinger type equation with negative potential

**3**

**0**answers

### Estimate a function given an estimate of its Laplacian

**1**

**0**answers

### Coercivity of $\int (\Delta u + u)^2$ on a subspace of $H^2$?

**3**

**1**answer

### Existence en regularity of elliptic PDE with mixed boundary

**2**

**1**answer

### Positive form for a homogeneous elliptic pde

**1**

**1**answer

### Vorticity equation for generalized Naiver Stokes equations

**2**

**1**answer

### Solving classical parabolic equation by using Littlewood-Paley theory

**0**

**0**answers