Geodesic
On coercive properties and separability of biharmonic operator with matrix potential
Ufa mathematical journal, Tome 9 (2017) no. 1, pp. 54-61

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In the work we consider the coercive properties of a nonlinear biharmonic operator with a matrix operator in the space $L_2(\mathbb R^n)^l$ and we prove its separability in this space. The considered nonlinear operators are not small perturbation of linear operators. The case of the linear biharmonic operator is considered separately.
Keywords: biharmonic differential operator, matrix potential, coercive inequalities, nonlinearity, separability. 
@article{UFA_2017_9_1_a4,
     author = {O. Kh. Karimov},
     title = {On coercive properties and separability of biharmonic operator  with matrix potential},
     journal = {Ufa mathematical journal},
     pages = {54--61},
     publisher = {mathdoc},
     volume = {9},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2017_9_1_a4/}
}
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O. Kh. Karimov. On coercive properties and separability of biharmonic operator  with matrix potential. Ufa mathematical journal, Tome 9 (2017) no. 1, pp. 54-61. http://geodesic.mathdoc.fr/item/UFA_2017_9_1_a4/