Results 91 to 100 of about 667 (175)

On the local well-posedness of randomly forced reaction-diffusion equations with $L^2$ initial data and a superlinear reaction term

We consider a parabolic stochastic partial differential equation (SPDE) on $[0\,,1]$ that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusion coefficient and a drift coefficient that is locally Lipschitz and satisfies an $L\log L$ growth condition. We prove that the SPDE is well posed when the initial data is in $
Foondun, Mohammud, Khoshnevisan, Davar, Nualart, Eulalia   +2 more
openaire   +2 more sources

Bifurcations in reaction-diffusion problems

, 2021
Náplní této práce je studium bifurkací v superlineárních neurčitých problémech a systémech reakce--difuze, které vykazují Turingovu difuzí řízenou nestabilitu. Při zkoumání těchto problémů využíváme metod matematické a numerické analýzy.
Fencl, Martin
core  

Selective nucleophilic α-C alkylation of phenols with alcohols via Ti=C_α intermediate on anatase TiO₂ surface. [PDF]

Nat Commun, 2023
Du X, Fan H, Liu S, Zhang ZC.
europepmc   +1 more source

Superlinear parabolic problems: blow-up, global existence and steady states

, 2019
This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various ...
Quittner, Prof Dr Pavol, Quittner, Pavol, Souplet, Prof Dr Philippe, Souplet, Philippe   +3 more
core   +1 more source

Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$

, 2013
We consider a nonlinear periodic problem driven by a nonlinear, nonhomogeneous differential operator with a reaction which exhibits an asymmetric growth at $+\infty$ and at $-\infty$. It is $\left( p-1\right) -$superlinear near $+\infty$ and $\left( p-
Aizicovici, S., Staicu, V., Papageorgiou, N. S.   +2 more
core  

Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet p-Laplacian

We deal with an Ambrosetti–Prodi problem driven by the p-Laplace differential operator, with a ‘‘crossing’’ reaction which can be sublinear or superlinear (in the positive direction).
Aizicovici, S., Staicu, V., Papageorgiou, N. S.   +2 more
core   +1 more source

Superlinear critical resonant problems with small forcing term

, 2015
International audienceWe prove the existence of solutions of a class of quasilinear elliptic problems with Dirichlet boundary conditions of the following form$$\begin{aligned} \left\{ \begin{array}{l@{\quad }l} Lu= g(u) -f &{} \hbox { in } \quad \Omega ,\
De Coster, Colette, Cuesta, Mabel
core   +1 more source

Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems

, 2004
We are interested in the existence of distributional solutions for two types of nonlinear evolution problems, whose models are (1.1) and (1.2) below. In the first one the nonlinear reaction term depends on the solution with a slightly superlinear growth.
Dall'Aglio, A., Giachett, D., Segura de Leon, S.   +2 more
core  

Sign-Changing Solutions and Multiple Solutions Theorems for Semilinear Elliptic Boundary Value Problems with a Reaction Term Nonzero at Zero

, 2002
In this paper, we use the ordinary differential equation theory of Banach spaces and minimax theory, in particular, the local mountain pass lemma to study asymptotically linear and superlinear elliptic boundary value problems with a reaction term nonzero
Zhang, Zhitao, Li, Xiaodong
core   +1 more source

Superlinear scaling of riverine biogeochemical function with watershed size. [PDF]

Nat Commun, 2022
Wollheim WM, Harms TK, Robison AL, Koenig LE, Helton AM, Song C, Bowden WB, Finlay JC.   +7 more
europepmc   +1 more source