Titlebook: Geometric Properties for Parabolic and Elliptic PDE‘s; Vincenzo Ferone,Tatsuki Kawakami,Futoshi Takahashi Book 2021 The Editor(s) (if appl

Diluge

Rosalind Rabin,Frank de Charro,Agota Szendeote by .(.) the life span of solutions to problem (P). We investigate the relationship between the singularity of . at the origin and .(.) for sufficiently large .?>?0 and the relationship between the behavior of . at the space infinity and .(.) for sufficiently small .?>?0. Moreover, we obtain sharp estimates of .(.), as .?→. or .?→?+0.

Pageant

HUMID

https://doi.org/10.1007/978-1-4842-2623-0ase with small initial data in weighted ..-spaces. This problem in multidimensional cases was dealt with in Sobajima (Differ Integr Equ 32:615–638, 2019) via the weighted Hardy inequality which is false in one-dimension. The crucial idea of the proof is the use of an incomplete version of Hardy inequality.

變異

啞劇

Asymptotic Behavior of Solutions for a Fourth Order Parabolic Equation with Gradient Nonlinearity v as the ..-gradient flow for an energy functional which is unbounded from below. We first prove the existence and the uniqueness of solutions to the problem via the Galerkin method. Moreover, combining the potential well method with the Galerkin method, we study the asymptotic behavior of global-in-time solutions to the problem.

系列

Remark on One Dimensional Semilinear Damped Wave Equation in a Critical Weighted ,,-space,ase with small initial data in weighted ..-spaces. This problem in multidimensional cases was dealt with in Sobajima (Differ Integr Equ 32:615–638, 2019) via the weighted Hardy inequality which is false in one-dimension. The crucial idea of the proof is the use of an incomplete version of Hardy inequality.

UNT

Vincenzo Ferone,Tatsuki Kawakami,Futoshi TakahashiUpdated contributions in the areas covered by the workshop.The book contains papers of distinguished researchers.Geometric properties of solutions to elliptic and parabolic pdes are an intriguing subj

agnostic

978-3-030-73365-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

PLUMP

Fibrin