Mohammud Foondun

Dr

  • United Kingdom

Accepting PhD Students

20092019
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Research Output 2009 2019

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2019
12 Downloads (Pure)

Remarks on a fractional-time stochastic equation

Foondun, M., 5 Apr 2019, In : Proceedings of the American Mathematical Society. 15 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Equations
Fractional
Derivatives
Derivative
Qualitative Behavior
9 Downloads (Pure)

The Osgood condition for stochastic partial differential equations

Foondun, M. & Nualart, E., 28 Jul 2019, (Accepted/In press) In : Annals of Probability. 19 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Partial Differential Equations
Space-time White Noise
Colored Noise
Blow-up Solution
Dirichlet Boundary Conditions
2018
7 Downloads (Pure)

An approximation result for a class of stochastic heat equations with colored noise

Foondun, M., Joseph, M. & Li, S-T., 31 Oct 2018, In : Annals of Applied Probability. 28, 5, p. 2855-2895 41 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Heat Equation
Colored Noise
Local Limit Theorem
Comparison Principle
Approximation
12 Downloads (Pure)

Spatial asymptotics and strong comparison principle for some fractional stochastic heat equations

Foondun, M. & Nualart, E., 11 Oct 2018, (Accepted/In press) In : Submitted. p. 1-32 32 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Heat Equation
Fractional Laplacian
Comparison Principle
Lipschitz Function
Gaussian Noise
2017
11 Citations (Scopus)
60 Downloads (Pure)

Asymptotic properties of some space-time fractional stochastic equations

Foondun, M. & Nane, E., 3 Jan 2017, In : Mathematische Zeitschrift. 27 p.

Research output: Contribution to journalArticle

Open Access
File
Asymptotic Properties
Stochastic Equations
Fractional
Space-time
Heat
1 Citation (Scopus)
21 Downloads (Pure)

Large deviations for a class of semilinear stochastic partial differential equations

Foondun, M. & Setayeshgar, L., 28 Feb 2017, In : Statistics and Probability Letters . 121, p. 143-151 9 p.

Research output: Contribution to journalArticle

Open Access
File
Large Deviation Principle
Stochastic Partial Differential Equations
Multiplicative Noise
Weak Convergence
Large Deviations
11 Downloads (Pure)

Some non-existence results for a class of stochastic partial differential equations

Foondun, M., Liu, W. & Nane, E., 21 Dec 2017, (Accepted/In press) In : Journal of Differential Equations.

Research output: Contribution to journalArticle

Open Access
File
Forcing Term
Stable Process
Stochastic Partial Differential Equations
Random Field
Partial differential equations
7 Downloads (Pure)

Some properties of non-linear fractional stochastic heat equations on bounded domains

Foondun, M., Guerngar, N. & Nane, E., 28 Mar 2017, (Accepted/In press) In : Chaos, Solitons and Fractals.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Heat Equation
Partial differential equations
Bounded Domain
Fractional
operators
2016
6 Citations (Scopus)

Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains

Foondun, M., Mijena, J. B. & Nane, E., 16 Dec 2016, In : Fractional Calculus and Applied Analysis. 19, 6, p. 1527–1553 27 p.

Research output: Contribution to journalArticle

Stochastic Equations
Bounded Domain
Fractional
Excitation
Space-time
21 Downloads (Pure)

On some properties of a class of fractional stochastic heat equations

Liu, W., Tian, K. & Foondun, M., 19 May 2016, In : Journal of Theoretical Probability. 24 p.

Research output: Contribution to journalArticle

Open Access
File
Space-time White Noise
Symmetric Stable Processes
Stochastic Heat Equation
Correlated Noise
Gaussian Noise
2015
3 Citations (Scopus)

Analysis of the gradient of the solution to a stochastic heat equation via fractional Brownian motion

Foondun, M., Khoshnevisan, D. & Mahboubi, P., 1 Jun 2015, In : Stochastic and Partial Differential Equations: Analysis and Computations. 3, 2, p. 133–158 26 p.

Research output: Contribution to journalArticle

Stochastic Heat Equation
Brownian movement
Fractional Brownian Motion
White noise
Partial differential equations
4 Citations (Scopus)

On non-existence of global solutions to a class of stochastic heat equations

Foondun, M. & Parshad, R. D., 6 Apr 2015, In : Proceedings of the American Mathematical Society. 143, 9, p. 4085-4094 10 p.

Research output: Contribution to journalArticle

Space-time White Noise
Stochastic Heat Equation
White noise
Global Solution
Random Field
12 Citations (Scopus)

On the behaviour of stochastic heat equations on bounded domains

Foondun, M. & Nualart, E., 2015, In : Alea. 12, 2, p. 551-571 21 p.

Research output: Contribution to journalArticle

Stochastic Heat Equation
Bounded Domain
Moment
Dirichlet Boundary Conditions
Long-run
2014
1 Citation (Scopus)

Corrections and improvements to: on the stochastic heat equation with spatially-colored random forcing

Foondun, M. & Khoshnevisan, D., 31 Jan 2014, In : Transactions of the American Mathematical Society. 366, 1, p. 561-562 2 p.

Research output: Contribution to journalArticle

Stochastic Heat Equation
Lyapunov Exponent
Forcing
Theorem
Hot Temperature
32 Downloads (Pure)

Moment bounds for a class of fractional stochastic heat equations

Foondun, M., Liu, W. & Omaba, M., 19 Sep 2014, (Accepted/In press) In : Annals of Probability. p. 1-24 24 p.

Research output: Contribution to journalArticle

Open Access
File
Stochastic Heat Equation
Open Problems
Fractional
Complement
Denote
8 Citations (Scopus)

Remarks on non-linear noise excitability of some stochastic heat equations

Foondun, M. & Joseph, M., 13 May 2014, In : Stochastic Processes and their Applications. 124, 10, p. 3429-3440 12 p.

Research output: Contribution to journalArticle

Stochastic Heat Equation
Excitability
Boundary conditions
Space-time White Noise
White noise
2012
1 Citation (Scopus)

An asymptotic theory for randomly forced discrete nonlinear heat equations

Foondun, M. & Khoshnevisan, D., 31 Aug 2012, In : Bernoulli. 18, 3, p. 1042-1060 19 p.

Research output: Contribution to journalArticle

Nonlinear Heat Equation
Asymptotic Theory
Stochastic PDEs
Stochastic Heat Equation
Comparison Principle
28 Citations (Scopus)

On the stochastic heat equation with spatially-colored random forcing

Foondun, M. & Khoshnevisan, D., 8 Aug 2012, In : Transactions of the American Mathematical Society. 365, 1, p. 409-458 50 p.

Research output: Contribution to journalArticle

Stochastic PDEs
Stochastic Heat Equation
Forcing
Anderson Model
Mild Solution
2011
18 Citations (Scopus)

A local-time correspondence for stochastic partial differential equations

Foondun, M., Khoshnevisan, D. & Nualart, E., 31 May 2011, In : Transactions of the American Mathematical Society. 363, 5, p. 2481-2515 35 p.

Research output: Contribution to journalArticle

Stochastic Partial Differential Equations
Local Time
Partial differential equations
Correspondence
Random Field
3 Citations (Scopus)

Dynkin's isomorphism theorem and the stochastic heat equation

Eisenbaum, N., Foondun, M. & Khoshnevisan, D., 30 Apr 2011, In : Potential Analysis. 34, 3, p. 243-260 18 p.

Research output: Contribution to journalArticle

Stochastic Heat Equation
Isomorphism theorems
Generator
Local Time
Absolutely Continuous
2010
8 Citations (Scopus)
Space-time White Noise
Stochastic Heat Equation
Anderson Model
Intermittency
Compact Support
2009
6 Citations (Scopus)

Harmonic functions for a class of integro-differential operators

Foondun, M., 31 Jul 2009, In : Potential Analysis. 31, 1, p. 21-44 24 p.

Research output: Contribution to journalArticle

Integro-differential Operators
Harnack Inequality
Harmonic Functions
Non-negative
Operator
10 Citations (Scopus)

Heat kernel estimates and Harnack inequalities for some Dirichlet forms with non-local part

Foondun, M., 7 Jan 2009, In : Electronic Journal of Probability. 14, p. 314-340 27 p.

Research output: Contribution to journalArticle

Kernel Estimate
Harnack Inequality
Dirichlet Form
Heat Kernel
Upper and Lower Bounds
62 Citations (Scopus)

Intermittence and nonlinear parabolic stochastic partial differential equations

Foondun, M. & Khoshnevisan, D., 7 Jan 2009, In : Electronic Journal of Probability. 14, p. 548-568 21 p.

Research output: Contribution to journalArticle

Stochastic Partial Differential Equations
Parabolic Partial Differential Equations
Lipschitz
Moment
Nonlinear Heat Equation