most citedComparison principles for the linear and semiliniar time-fractional diffusion equations with the Robin boundary condition

2 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

cs.CL20231 cited

Evolution of Natural Language Processing Technology: Not Just Language Processing Towards General Purpose AI

Masahiro Yamamoto

Since the invention of computers, communication through natural language (actual human language) has been a dream technology. However, natural language is extremely difficult to ma…

math.AP2023

Unique continuation for a mean field game system

Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto

For a mean field game system, we prove the unique continuation which asserts that if Cauchy data are zero on arbitrarily chosen lateral subboundary, then the solution identically v…

math.AP20231 cited

Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. Part I: Linear equations

Yuri Luchko, Masahiro Yamamoto

The main objective of this paper is analysis of the initial-boundary value problems for the linear time-fractional diffusion equations with a uniformly elliptic spatial differentia…

math.AP2023

Uniqueness of solution to boundary value problems for time-fractional wave equations

Paola Loreti, Daniela Sforza, Masahiro Yamamoto

We consider an initial boundary value problem in a bounded domain over a time interval for a time-fractional wave equation where the order of the fractional time deriv…

math.AP2023

Lipschitz stability for determination of states and inverse source problem for the mean field game equations

Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto

We consider solutions satisfying the zero Neumann boundary condition and a linearized mean field game equation in whose principal coefficients depend on the time an…

math.AP20222 cited

Comparison principles for the linear and semiliniar time-fractional diffusion equations with the Robin boundary condition

Yuri Luchko, Masahiro Yamamoto

The main objective of this paper is analysis of the initial-boundary value problems for the linear and semilinear time-fractional diffusion equations with a uniformly elliptic spat…