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On the regularity of solutions of the Cauchy problem for the Zakharov-Kuznetsov equation in Hölder normsThe problem of the interior regularity of generalized solutions of the Cauchy problem
Cauchy problem for a parabolic–hyperbolic equation with non-characteristic line of type changing–hyperbolic-type equation. Also, for this equation, we investigate a Cauchy-type problem with a line of changing type
On the Cauchy problem for the generalized Kawahara equationWe consider global weak solutions of the Cauchy problem for the generalized Kawahara equation. We
The cauchy problem for equations with variable coefficients. Leray’s uniformizationIn this chapter we deal with the Cauchy problem for equations with variable coefficients. Of course
Singularities of the solution of the cauchy problemIn this chapter, we use the formula for the solution of the Cauchy problem in terms of the ramified
Regularization by the integral identities method for integral and series equations in diffraction problems of the diffraction theory of the electromagnetic waves is proposed. Two auxiliary overdetermined Cauchy problems
Regularization by the integral identities method for integral and series equations in diffraction problems of the diffraction theory of the electromagnetic waves is proposed. Two auxiliary overdetermined Cauchy problems
Peano type theorem for abstract parabolic equationsWe consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach
The Riemann method for equations with leading partial derivative in ℝ nWe give a version of the Riemann method for solving the Cauchy problem for a linear equation
On the p-fold Well-posedness of Higher Order Abstract Cauchy Problem-order
abstract Cauchy problem. These conditions are expressed in terms of decay of some auxiliary pencils
derived
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