On Non-existence of Global Weak-predictable-random-field Solutions to a Class of SHEs
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 2
Abstract
The multiplicative non-linearity term is usually assumed to be globally Lipschitz in most results on SPDEs. This work proves that the solutions fail to exist if the non-linearity term grows faster than linear growth. The global non-existence of the solution occurs for some non-linear conditions on . Some precise conditions for existence and uniqueness of the solutions were stated and we have established that the solutions grow in time at most a precise exponential rate at some time interval; and if the solutions satisfy some non-linear conditions then they cease to exist at some finite time . Our result also compares the non-existence of global solutions for both the compensated and non-compensated Poisson noise equations.
Authors and Affiliations
E. M. Omaba, E. Nwaeze, L. O. Omenyi
Keywords
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- EP ID EP338417
- DOI 10.9734/ARJOM/2017/33317
- Views 91
- Downloads 0
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