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math.AP2024
Classification of kink clusters for scalar fields in dimension 1+1
Jacek Jendrej, Andrew Lawrie
We consider a real scalar field equation in dimension 1+1 with an even, positive self-interaction potential having two non-degenerate zeros (vacua) 1 and -1. Such a model admits no…
math.AP2024
Multisoliton solutions for equivariant wave maps on a dimensional wormhole
Piotr Bizoń, Jacek Jendrej, Maciej Maliborski
We study equivariant wave maps from the dimensional wormhole to the 2-sphere. This model has explicit harmonic map solutions which, in suitable coordinates, have the form of…
math.AP2024
Wave maps in dimension with an external forcing
Zdzisław Brzeźniak, Jacek Jendrej, Nimit Rana
This paper aims to establish the local and global well-posedness theory in , inspired by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave…