Long-time existence for signed solutions of the heat equation with a noise term

DOI10.1007/s004400050144zbMath0897.60072OpenAlexW2020846957MaRDI QIDQ1377037

Carl E. Mueller

Publication date: 1 February 1998

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050144

zbMATH Keywords

unique solutionlong-time existencetwo-parameter white noise

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (11)

The critical parameter for the heat equation with a noise term to blow up in finite time. ⋮ Integration by parts on \(\delta\)-Bessel bridges, \(\delta>3\), and related SPDEs ⋮ Can the stochastic wave equation with strong drift hit zero? ⋮ Asymptotic behavior of the solution of the fractional heat equation ⋮ Hitting properties of parabolic s.p.d.e.'s with reflection. ⋮ Higher-order stochastic partial differential equations with branching noises ⋮ The small time asymptotics of SPDEs with reflection ⋮ Time-space white noise eliminates global solutions in reaction-diffusion equations ⋮ Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity ⋮ Integration by parts on Bessel bridges and related stochastic partial differential equations ⋮ SPDEs with two reflecting walls and two singular drifts

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