126 citations
- Romanian AcademyRO59 papers
- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO42 papers
- University of BucharestRO36 papers
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO16 papers
- The University of TokyoJP14 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Bioterra University BucharestRO11 papers
- Peoples' Friendship University of RussiaRU7 papers
- Université d'AngersFR7 papers
- Tel Aviv UniversityIL6 papers
- Universitatea Națională de Știință și Tehnologie Politehnica BucureștiRO6 papers
- Valahia University of TargovisteRO6 papers
17 papers · 1 filter
Blowup in -norm and global existence for time-fractional diffusion equations with polynomial semilinear terms
Giuseppe Floridia, Yikan Liu, Masahiro Yamamoto
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity in a bounded domain with the homogeneous Neumann boundary condi…
Uniqueness of inverse source problems for time-fractional diffusion equations with singular functions in time
Yikan Liu, Masahiro Yamamoto
We consider a fractional diffusion equations of order whose source term is singular in time: , , where belong…
Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time
Masahiro Yamamoto
We consider fractional diffusion-wave equations with source term which is represented in a form of a product of a temporal function and a spatial function. We prove the uniqueness…
Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior
Yikan Liu, Masahiro Yamamoto
As the most significant difference from parabolic equations, long-time or short-time behavior of solutions to time-fractional evolution equations is dominated by the fractional ord…
A Carleman estimate and an energy method for a first-order symmetric hyperbolic system
G. Floridia, H. Takase, M. Yamamoto
For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman…
Carleman estimate for the Navier-Stokes equations and applications
Oleg Y. Imanuvilov, Luca Lorenzi, M. Yamamoto
For linearized Navier-Stokes equations, we first derive a Carleman estimate with a regular weight function. Then we apply it to establish conditional stability for the lateral Cauc…