Norisuke Ioku, Kazuhiro Ishige, Tatsuki Kawakami: Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
Masaki Kawamoto, Satoshi Masaki, Hayato Miyazaki: Global well-posedness and scattering in weighted space for nonlinear Schr\"{o}dinger equations below the Strauss exponent without gauge-invariance
codimension-2 minimal submanifold $M\subset N$ which is also oriented and non-degenerate, we construct a solution $(u_\varepsilon,A_\varepsilon)$ such that $u_\varepsilon$ has a zero set consisting of a smooth surface close to $M$. [3/5 of ]
$f$ superlineal and subcritical. We prove that if $\lambda>0$ is chosen sufficiently small the associated Energy Functional to the problem has a mountain pass structure and, therefore, it has a critical point $u_\lambda$, which is a [3/4 of ]
Masaki Sakuma: Compact embedding from variable-order Sobolev space to $L^{q(x)}(\Omega)$ and its application to Choquard equation with variable order and variable critical exponent
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky, Niyaz Tokmagambetov: Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
Kosuzu Hamaoka, Keiichi Kato, Shun Takizawa: Remark on Estimates in Modulation Spaces for Schr\"odinger Evolution Operators with Sub-quadratic Potentials
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto: Lipschitz stability for determination of states and inverse source problem for the mean field game equations
Anna Abbatiello, Danica Basaric, Nilasis Chaudhuri, Eduard Feireisl: Local existence and conditional regularity for the Navier-Stokes-Fourier system driven by inhomogeneous boundary conditions
Jalal M. Fadili (NU,ENSICAEN,GREYC), Nicolas Forcadel (LMI), Rita Zantout (LMI): Limits of non-local approximations to the Eikonal equation on manifolds
Binqian Niu, Weiren Zhao: Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization