Monotonicity property for a class of semilinear partial differential equations

Siva Athreya

Séminaire de probabilités de Strasbourg (2000)

  • Volume: 34, page 388-392

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Athreya, Siva. "Monotonicity property for a class of semilinear partial differential equations." Séminaire de probabilités de Strasbourg 34 (2000): 388-392. <http://eudml.org/doc/114049>.

@article{Athreya2000,
author = {Athreya, Siva},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {boundary value problem; parabolic partial differential equation; super-Brownian motion},
language = {eng},
pages = {388-392},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Monotonicity property for a class of semilinear partial differential equations},
url = {http://eudml.org/doc/114049},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Athreya, Siva
TI - Monotonicity property for a class of semilinear partial differential equations
JO - Séminaire de probabilités de Strasbourg
PY - 2000
PB - Springer - Lecture Notes in Mathematics
VL - 34
SP - 388
EP - 392
LA - eng
KW - boundary value problem; parabolic partial differential equation; super-Brownian motion
UR - http://eudml.org/doc/114049
ER -

References

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  1. [Ath98] Siva Athreya. Probability and semilinear partial differential equations. Ph.D. thesis, 1998. 
  2. [BB99] R. Bañuelos and K. Burdzy. On the hot-spots conjecture of J. Rauch. J. Func. Anal., 164:1-33, 1999. Zbl0938.35045MR1694534
  3. [DIP89] D. Dawson, I. Iscoe, and E. Perkins. Super Brownian motion: path properties and hitting probabilities. Probability Theory and Related Fields, 83:135-206, 1989. Zbl0692.60063MR1012498
  4. [DP91] D. Dawson and E. Perkins. Historical processes. Memoirs of the American Mathematical Society, 454, 1991. Zbl0754.60062MR1079034
  5. [Dyn91] E.B. Dynkin. A probabilistic approach to one class of non-linear differential equations. Probability Theory and Related Fields, 89:89-115, 1991. Zbl0722.60062MR1109476
  6. [Fit88] P. Fitzsimmons. Construction and regularity of measure-valued branching processes. Israel J. Math., 64:337-361, 1988. Zbl0673.60089MR995575
  7. [Kle89] A. Klenke. Multiple scale analysis of clusters in spatial branching models. Annals of Probability, 83:135-206, 1989. MR1487432
  8. [LG95] J.F. Le Gall. Brownian snake and partial differential equations. Probability Theory and Related Fields, 102:393-432, 1995. Zbl0826.60062MR1339740
  9. [Paz83] A. Pazy. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New York, 1983. Zbl0516.47023MR710486

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