What question did this study set out to answer?

The goal is to analyze a boundary value problem for a third-order pseudoparabolic equation in a non-cylindrical domain.

Properties of the Solution of a Problem for a Pseudoparabolic Equation in a Non‐Cylindrical Domain

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The goal is to analyze a boundary value problem for a third-order pseudoparabolic equation in a non-cylindrical domain.
Focused on a non-cylindrical domain with respect to time
Developed new techniques for nonlocal initial conditions
Applied the method of functional parametrization
Established existence and uniqueness of a solution
Derived a series of a priori estimates for the solution
Derived estimates for first- and mixed-order derivatives

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This investigation demonstrates existence and uniqueness of solutions in non-cylindrical domains, indicating potential for new analytical techniques.

Ospanov et al. (2026) studied this question.

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This investigation demonstrates existence and uniqueness of solutions in non-cylindrical domains, indicating potential for new analytical techniques.