Our objective is to study a new type of Dirichlet boundary value problem consisting of a system of equations with parameters, where the reaction terms depend on both the solution and its gradient (i.e., they are convection terms) and incorporate the effects of convolutions. We present results on existence, uniqueness and dependence of solutions with respect to the parameters involving convolutions.

Motreanu, D., Vetro, C., Vetro, F. (2020). The effects of convolution and gradient dependence on a parametric Dirichlet problem. SN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1(1) [10.1007/s42985-019-0004-y].

The effects of convolution and gradient dependence on a parametric Dirichlet problem

Motreanu, Dumitru.
;
Vetro, Calogero;
2020-01-01

Abstract

Our objective is to study a new type of Dirichlet boundary value problem consisting of a system of equations with parameters, where the reaction terms depend on both the solution and its gradient (i.e., they are convection terms) and incorporate the effects of convolutions. We present results on existence, uniqueness and dependence of solutions with respect to the parameters involving convolutions.
Settore MAT/05 - Analisi Matematica
Motreanu, D., Vetro, C., Vetro, F. (2020). The effects of convolution and gradient dependence on a parametric Dirichlet problem. SN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1(1) [10.1007/s42985-019-0004-y].
File in questo prodotto:
File Dimensione Formato  
Motreanu2020_Article_TheEffectsOfConvolutionAndGrad.pdf

Solo gestori archvio

Descrizione: Articolo
Tipologia: Versione Editoriale
Dimensione 748.44 kB
Formato Adobe PDF
748.44 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/545894
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact