A remark on an elliptic equation in an unbounded domain

We give in this work some remarks on the resolution of an elliptic equation with homogeneous Dirichlet boundary conditions posed on the unbounded domain Σ =(0,+∞ )×(0,1). Our aim is to use the famous Dore-Venni theorem, in UMD Banach spaces, to prove the existence, uniqueness and maximal regularity of the strict solution.

Authors

Institutions

Publication Details

Journal
Gulf Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.56947/gjom.v18i1.2368
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A remark on an elliptic equation in an unbounded domain

Tarik Berroug
Gulf Journal of Mathematics
Advanced Mathematical Modeling in Engineering
article

A remark on an elliptic equation in an unbounded domain

Tarik Berroug
article en

Abstract

We give in this work some remarks on the resolution of an elliptic equation with homogeneous Dirichlet boundary conditions posed on the unbounded domain Σ =(0,+∞ )×(0,1). Our aim is to use the famous Dore-Venni theorem, in UMD Banach spaces, to prove the existence, uniqueness and maximal regularity of the strict solution.

Gulf Journal of MathematicsVol. 18(1)
Université Ibn Zohr (MA)
Openalex Percentile: Top 73%
Advanced Mathematical Modeling in Engineering
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A remark on an elliptic equation in an unbounded domain — Tarik Berroug · Gulf Journal of Mathematics (2024) | TGRS Research Map | TGRS