Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

In this work a two component epidemic reaction–diffusion system posed on the whole space
RN is considered. Uniform boundedness of the solutions is proved using suitable local L p …

In this paper we will construct local mild solutions of the Cauchy problem for the
incompressible homogeneous Navier-Stokes equations in d-dimensional Euclidian space …

We develop a classification theory for the existence and non-existence of local in time
solutions for initial value problems for nonlinear heat equations. By focusing on some quasi …

The aim of the article is to present a unified approach to the existence, uniqueness and
regularity of solutions to problems belonging to a class of second order in time semilinear …

We analyse self-similarity properties related to linear elliptic and evolutionary problems
involving homogeneous operators in several spaces including measures. We employ these …

Recent experimental evidence suggests that spatial heterogeneity plays an important role in
within‐host infections caused by different viruses including hepatitis B virus (HBV), hepatitis …

This paper is dedicated to analyzing the dynamical behavior of strongly damped wave
equations with critical nonlinearity in locally uniform spaces. After proving the global well …

In this paper, linear higher-order parabolic equation is shown to define a semigroup in
Morrey spaces. For higher-order diffusion equation, the associated semigroup is proved …

We establish the local existence and the uniqueness of solutions of the heat equation with a
nonlinear boundary condition for the initial data in uniformly local $ L^ r $ spaces …