Work

Existence and blow up of solution for a Petrovsky equations of Hartree type

Year: 2025

Type: article

Abstract: In this work, we establish the initial boundary value problem of a class of Petrovsky equation of Hartree-type. We prove the global existence of weak solutions by applying potential well theory. Furthermore, we investigate the blow-up phenomena of solutions under nonnegative or negative initial energy conditions.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025026

Authors: Ayşe Fidan, Erhan Pişkin, Sofian Abuelbacher Adam Saad, Loay Alkhalifa, Mohamed Abdalla

Institutions: Dicle University, Qassim University, King Khalid University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: King Khalid University

Award: G4109863967