Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 415-437

Voir la notice de l'article provenant de la source Cambridge University Press

The paper is concerned with the comparison of two solutions for a one-dimensional stochastic partial differential equation. Noting that support compactness of solutions propagates with passage of time, we define the SCP property and show that the SCP property and the strong positivity are two contrasting properties of solutions for one-dimensional SPDEs, which are due to degeneracy of the noise-term coefficient
DOI : 10.4153/CJM-1994-022-8
Mots-clés : 60H15, SPDE, compact support property, strong comparison theorem
Shiga, Tokuzo. Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations. Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 415-437. doi: 10.4153/CJM-1994-022-8
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