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Singular initial conditions for the heat equation with a noise term

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Publication:1922081
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DOI10.1214/aop/1042644721zbMath0854.60057OpenAlexW2025228588MaRDI QIDQ1922081

Carl E. Mueller

Publication date: 5 January 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1042644721


zbMATH Keywords

heat equationstochastic partial differential equationswhite noiseinitial conditions


Mathematics Subject Classification ID

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


Related Items (2)

$L^p$ solutions for stochastic evolution equation with nonlinear potential ⋮ Weak nonmild solutions to some SPDEs



Cites Work

  • Unnamed Item
  • Motion of level sets by mean curvature. I
  • Long time existence for the heat equation with a noise term
  • Curvature and the evolution of fronts
  • Blowup for the heat equation with a noise term
  • Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations


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