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Abstract We study the uniqueness of weak solution in L l o c ∞ ( [ 0 , + ∞ ) ; L 2 ( R 1 ) ) for… Click to show full abstract
Abstract We study the uniqueness of weak solution in L l o c ∞ ( [ 0 , + ∞ ) ; L 2 ( R 1 ) ) for initial value problem of Chern–Simons–Dirac equations. We first derive the equations for the difference between two weak solutions and establish the existence of the solution to initial value problem to its adjoint system. Then we apply Holmgren's method to prove that the weak solution in L l o c ∞ ( [ 0 , + ∞ ) ; L 2 ( R 1 ) ) to initial value problem of Chern–Simons–Dirac equations is unique.
Keywords:
dirac equations;
chern simons;
simons dirac;
uniqueness weak;
weak solution;
solution
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!