Multidimensional stochastic nonlinear pseudoparabolic equations on a hyperoctant with boundary noise

Key Points

• The aim is to establish the existence and uniqueness of solutions to stochastic nonlinear pseudoparabolic equations.
• Considered stochastic nonlinear pseudoparabolic equations under Dirichlet noise boundary conditions.
• Analyzed the initial-boundary value problem for local existence and uniqueness.
• Performed investigations on solution regularity, particularly near the origin.
• Local existence and uniqueness of solutions were established in appropriate Sobolev spaces.
• The regularity behavior of solutions was detailed, especially in areas of high irregularity near the boundary.