# Questions tagged [inverse-problems]

Inverse problems involve for example reconstruction of an object based on physical measurements and finding a best model/parameters out of a family given observed data. Typically the corresponding "forward" problems are well-posed and can be solved straightforwardly, while the inverse problems are often ill-posed. Not to be confused with the (inverse) tag.

**3**

**1**answer

### On the equation $[U, V] - V_x = C(x)$

**2**

**1**answer

### How to find $\nabla u\cdot \nu|_{B(0,1)} $ where $u$ is solution of given conductivity equation?

**3**

**0**answers

### Reference request: diffusion approximation to the radiative transport

**2**

**1**answer

### Is Sommerfeld radiation condition invariant under translations?

**2**

**0**answers

### Radon transform range theorem and radial functions

**4**

**1**answer

### Optimal transport: find cost function given observed transport

**3**

**0**answers

### Radon transform on complex Grassmannians

**4**

**1**answer

### Interesting questions for inverse parabolic problems

**4**

**1**answer

### Given convex l.s.c. function $f$, find decreasing convex function $\phi$ such that $f(x) \equiv \sup_y x\phi(y)-\phi(-y)$

**52**

**1**answer

### Mathematics of imaging the black hole

**2**

**1**answer

### Can a bijection between function spaces be continuous if the space's domains are different?

**1**

**0**answers

### Kernel of Radon transform in $\mathbb{R}^3$

**17**

**1**answer

### An explicit reconstruction of a matrix from its minors

**11**

**3**answers

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

**3**

**1**answer

### Reconstructing the Green's function of an initial-value problem of partial differential equation

**0**

**1**answer

### How to numerically invert a bilateral (two-sided) Laplace transform?

**6**

**3**answers

### Reference Request - Recovering a function from its definite integrals (inverse problem)

**2**

**0**answers

### How often does the gradient of a solution to elliptic equation vanish on the boundary?

**1**

**1**answer

### inverse interpolation

**3**

**1**answer

### Is there an English translation of Hadamard's classic French paper on well-posed problems?

**14**

**1**answer

### Is $\delta(df \wedge df)=0$ an Euler-Lagrange equation?

**0**

**1**answer

### Solution of Poisson equation vanishing at the boundary of any order

**1**

**0**answers

### On the Integration and Manipulation of Expressions Involving Hypergeometric Functions

**3**

**1**answer

### Is this result on an unconstrained inverse quadratic programming problem new or known already?

**6**

**2**answers

### Approximating Uniform Distribution with Mixture of Gaussians

**2**

**0**answers

### A question in inverse Galois Theory

**12**

**3**answers

### How to find Suleimanova's work on the Nonnegative Inverse Eigenvalue Problem?

**5**

**1**answer

### Are inverse eigenvalue problems (IEPs) hopeless and not a fruitful area of research?

**-1**

**1**answer

### Question related to Galois covering of Projective line over rational numbers

**1**

**0**answers

### The jump set of $SBV$ function for different value of parameter in image denoising problem

**7**

**1**answer

### Inverting a function

**54**

**2**answers

### Recent observation of gravitational waves

**3**

**0**answers

### Spectra of certain totally positive matrices

**7**

**1**answer

### Question on Inverse Galois Theory

**3**

**2**answers

### Can one hear the shape of a drum for operators?

**3**

**1**answer

### Under what hypothesis on the domain is the X-ray transform/John transform operator bounded?

**6**

**1**answer

### Radon transform between affine grassmannians

**2**

**0**answers

### Combining microlocal Helgason's support and Holmgren's theorem to prove injectivity of limited-angle Radon transform

**4**

**1**answer

### Injectivity of the Funk transform for nonsmooth functions

**24**

**7**answers

### What's that shape? Inferring a 3D shape from random shadows

**1**

**0**answers

### Counting variables to look for invariances/range conditions

**6**

**1**answer

### An unusual metric reconstruction problem

**1**

**2**answers

### Certain inverse problem related to moments

**1**

**1**answer

### Fredholm integral with functions constrained to [0;1]

**4**

**0**answers

### Applications of Freiman's theorem?

**4**

**0**answers

### How to check if a manifold can be foliated by strictly convex hypersurfaces?

**4**

**0**answers

### Sample based inversion of the Radon transform

**1**

**0**answers

### Uniqueness of domain with given interior Newtonian potential

**2**

**0**answers

### A integral equation with Discrete to result by inverse problem

**3**

**0**answers