Establishes non-explosion for superlinear stochastic parabolic PDEs with space-time colored noise in arbitrary dimensions under Neumann, periodic or Dirichlet conditions, achieving χ up to 1 + (1-η)/(2β).
Stochastic Equations in Infinite Dimensions
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Nonexplosion for a large class of superlinear stochastic parabolic equations, in arbitrary spatial dimension
Establishes non-explosion for superlinear stochastic parabolic PDEs with space-time colored noise in arbitrary dimensions under Neumann, periodic or Dirichlet conditions, achieving χ up to 1 + (1-η)/(2β).
- Positive probability of explosion for stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative noise