The studies of well-posed and ill-posed local and nonlocal boundary value problems for partial differential equations are driven not only by a theoretical interest but also by the fact that several phenomena in engineering, various fields of physics, and financial mathematics can be modeled and investigated in this way.

The present special issue is devoted to the publication of high-quality research papers in the fields of the construction and investigation of analytic and numerical methods for solutions of well-posed and ill-posed boundary value problems for partial differential equations.

The special issue will provide a forum for researches and scientists to communicate their recent developments and to present their original results in the fields of well-posed and ill-posed local and nonlocal boundary value problems for partial differential equations and their related applications. Potential topics include, but are not limited to:

• Problems involving operators with nonlocal boundary conditions
• Numerical functional analysis and applications
• Equations of gas and hydrodynamics
• Local and nonlocal boundary value problems for partial differential equations
• Stochastic partial differential equations and applications
• Computational methods in partial differential equations
• Fractional differential equations and applications
• Mathematical and computer modelling