We study the inverse Cauchy problem for a time fractional diffusion-wave equation with
distributions in right-hand sides. The problem is to find a solution (continuous in time in …

We investigate a general parabolic initial-boundary value problem with zero Cauchy data in
some anisotropic H\" ormander inner product spaces. We prove that the operators …

We find the conditions for the unique solvability of the inverse problem for a time‐fractional
diffusion equation with Schwarz‐type distributions in the right‐hand sides. This problem is to …

We find the conditions for the unique solvability of the inverse problem of the solution's initial
data determination for a time fractional diffusion equation with a Schwartz‐type distribution …

In Hilbert Hörmander spaces, we study the initial-boundary-value problems for arbitrary
parabolic differential equations of the second order with Dirichlet boundary conditions or …

For some anisotropic inner-product Hörmander spaces, we prove the theorems on well-
posedness of initial-boundary-value problems for the two-dimensional heat-conduction …

We establish new sufficient conditions under which the generalized solutions of initial-
boundary-value problems for linear parabolic differential equations of any order with …

We study a general initial-boundary-value problem for systems parabolic in Petrovskii's
sense with trivial initial Cauchy data in some anisotropic Hörmander inner-product spaces. It …

For a linear nonhomogeneous diffusion equation with fractional derivative of order β 2 (0, 2)
with respect to time, we establish the unique solvability of the inverse problem of …

We study the inverse problem for a differential equation of order $2 b $ with the Riemann-
Liouville fractional derivative of order $\beta\in (0, 1) $ in time and given Schwartz type …