Deadline for manuscript submissions: 20 June 2025

 

Special Issue Editors

 

Dr. Jun Zheng Website  E-Mail: zhengjun@swjtu.edu.cn
Guest Editor
Southwest Jiaotong University, China
Interests: Regularity theory of partial differential equations (PDEs); PDE control; nonlinear and robust control

  

Prof. Leandro S. Tavares Website  E-Mail: leandrolstav@gmail.com
Guest Editor
Federal University of ABC, Brazil
Interests: Partial differential equations; elliptic equations; nonhomogeneous operators; free boundary problems

 

Special Issue Information

 

Partial differential equations (PDEs) play a pivotal role in the intersecting fields of mathematics and control. This special issue aims to bring together cutting-edge research findings focusing on the existence, regularity, and stability of solutions to PDEs across mathematics and control theory.

 

The study of existence is fundamental. Many practical problems can be modeled as PDEs. Exploring whether solutions exist under different conditions provides a solid foundation for both theoretical advancements and practical applications. Regularity research is crucial as it concerns the integrability, differentiability, and smoothness of solutions, which is essential for accurate numerical computation and a deeper understanding of their physical meanings. Stability analysis ensures that solutions maintain their properties under perturbations or parameter changes, which is indispensable for the reliability of control systems.

 

We warmly welcome submissions covering, but not limited to, the following aspects:

 

(i) innovative method for the proof of the existence of solutions/minimizers to nonlinear PDEs;

(ii) new results on regularity theory of nonlinear PDEs;

(iii) stability analysis of nonlinear PDE systems in practical applications;

(iv) novel approaches for stabilizing linear or nonlinear PDEs with destabilizing terms.

 

Through this special issue, we expect to promote exchanges and collaborations among scholars, drive the further development of PDEs in the intersecting fields of mathematics and control, provide more valuable references for related research and practice, stimulate innovative research ideas and methods, and enhance the overall research level in this field.

 

Keywords:

Partial differential equations

Existence of solutions

Regularity of solutions

Stability

Stabilization

Control theory 

 

 

Published Papers