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

**1**

**0**answers

### Nodal domains on a surface

**1**

**0**answers

### Uniqueness of solution of linear PDE of first order

**1**

**1**answer

### Existence of unique critical points to second order elliptic PDEs

**1**

**0**answers

### Rankine Hugoniot Condition for non piecewise smooth solution

**4**

**1**answer

### Method of characteristics beyond the Lipschitz setting

**0**

**0**answers

### Change of variable for the Stokes equations

**3**

**0**answers

### How to solve this linear Cauchy Problem

**1**

**0**answers

### Random solute transport equation

**0**

**1**answer

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

**0**

**0**answers

### What is the minimum setting in which regularity results are available for the solutions of Poisson's equation?

**0**

**2**answers

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

**2**

**0**answers

### Observability inequality for the heat equation

**1**

**0**answers

### Underdetermined PDE

**0**

**1**answer

### Unique continuation for the wave equation

**0**

**1**answer

### System of first order linear coupled PDEs [closed]

**2**

**2**answers

### Reference for De Giorgi-Nash-Moser theory

**1**

**1**answer

### schauder regularity heat equation

**5**

**1**answer

### The division problem for tempered functions

**1**

**0**answers

### Convex solutions of linear hyperbolic PDEs in a planar domain

**2**

**1**answer

### Positive form for a homogeneous elliptic pde

**1**

**0**answers

### Critical spaces and energy estimate in NS equation [closed]

**8**

**3**answers

### What does the flow of the principal symbol of the differential operator tell us about the PDE?

**0**

**1**answer

### Is fractional Laplacian invariant under rotation?

**4**

**0**answers

### Linear PDE with non constant coefficients and properties of Green's Function

**1**

**0**answers

### Regularity of Poisson problem with rough coefficients and mixed boundary conditions

**1**

**1**answer

### Question on expansion into Neumann eigenfunctions

**1**

**0**answers

### Why does a homogeneous first-order linear PDE have $n-1$ functionally independent solutions? [closed]

**2**

**0**answers

### What type of boundary (if any) problem for this family of elliptic PDEs? “half boundary”?

**0**

**1**answer

### How do I show continuity of the mixed and weak solution to Zaremba problem?

**2**

**0**answers

### Singularity of the solution of a PDE whose coefficients have zeros

**0**

**1**answer

### Is this function positive?

**5**

**1**answer

### Existence of second order potential for PDE

**1**

**0**answers

### Maximum principle on noncompact manifold with boundary

**1**

**3**answers

### BVPs for elliptic PDOs: When do Green functions ($L^2$ inverses) define pseudo-differential operators in the interior?

**1**

**0**answers

### Nonautonomous wave equation of memory type

**3**

**2**answers

### General formula for integrating factor of an homogeneous differential 1 form

**0**

**1**answer

### Poisson Equation across a Hypersurface [closed]

**2**

**0**answers

### Laplace problem with Robin boundary condition on a wedge

**1**

**0**answers

### Uniqueness in a linear elliptic PDE

**1**

**1**answer

### Decay time to constant function of heat kernel on 2-sphere

**2**

**1**answer

### Growth at infinity of a solution to a parabolic PDE

**3**

**2**answers

### Orthogonality to harmonic functions

**1**

**1**answer

### Examples of the time-dependent linear wave equation

**0**

**1**answer

### Improved maximum principle estimates (deleting first mode)

**1**

**0**answers

### An existence result for solutions of elliptic equations with a mixed boundary problem

**4**

**1**answer

### Geometry of curves on the sphere

**1**

**1**answer

### Functions orthogonal to harmonic functions

**5**

**0**answers

### Continuous right inverse to the Laplacian operator on $C^\infty$

**3**

**0**answers

### Partial regularity for transmission problem in corner domains

**3**

**1**answer