Semilinear Singular Perturbation Problems
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We consider first the semilinear Dirichlet problem
where e is a small positive parameter and prime denotes differentiation with respect to t. Some natural questions to ask regarding this problem are: Does the problem have a solution for all small values of ε? Once the existence of a solution has been established, how does the solution behave as ε + 0+?
KeywordsPositive Constant Dirichlet Problem Stable Solution Shock Layer Fixed Constant
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