Weighted Aronson-Bénilan estimates and Harnack inequalities for slow diffusion equations with a nonlinear forcing term [0.03%]
具有非线性外力项的慢扩散方程的加权Aronson-Benilan估计和Harnack不等式
Ali Taheri,Vahideh Vahidifar
Ali Taheri
We formulate and prove new Aronson-Bénilan and Li-Yau type gradient estimates for positive solutions to nonlinear slow diffusion equations. The framework is that of a smooth metric measure space (i.e., a weighted manifold) and the estimate...
Antonio Agresti,Mark Veraar
Antonio Agresti
In this survey, we provide an in-depth exposition of our recent results on the well-posedness theory for stochastic evolution equations, employing maximal regularity techniques. The core of our approach is an abstract notion of critical spa...
Unconditional deep-water limit of the intermediate long wave equation in low-regularity [0.03%]
中间长波方程在低正则性下的无条件深水极限
Justin Forlano,Guopeng Li,Tengfei Zhao
Justin Forlano
In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on both the real line and the circle. Our main tool is new uncond...
On quasi-linear reaction diffusion systems arising from compartmental SEIR models [0.03%]
源于隔室模型的准线性反应扩散系统的存在性和正则性研究
Juan Yang,Jeff Morgan,Bao Quoc Tang
Juan Yang
The global existence and boundedness of solutions to quasi-linear reaction-diffusion systems are investigated. The system arises from compartmental models describing the spread of infectious diseases proposed in Viguerie et al. (Appl Math L...
Chiara Gavioli,Pavel Krejčí
Chiara Gavioli
The full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in detail under the hypothesis that the pressure-saturation hys...