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Nonlinear Equations of the Theory of Ion-Sound Plasma WavesNew high-order nonlinear equations of the Sobolev type describing ion-sound plasma waves

The Cauchy Problem for a Nonlinear Wave EquationThe Cauchy Problem for a Nonlinear Wave Equation

On the existence of a nonextendable solution of the Cauchy problem for a $(3+1)$-dimensional thermal–electrical modelnonlinear Sobolev-type equations

On the solvability of the Cauchy problem for a thermal–electrical modelnonlinear Sobolev-type equations

On the existence of a nonextendable solution of the Cauchy problem for a -dimensional thermal–electrical modelnonlinear Sobolev-type equations

Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearityA system of equations with a quadratic nonlinearity in the electric field potential

On Blow-up and Global Existence of Weak Solutions to Cauchy Problem for Some Nonlinear Equation of the Pseudoparabolic Type for equations of the considered type. Moreover, sufficient conditions for global-in-time solvability

On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity differential equation with gradient nonlinearity (Formula presented.). The solution to this problem

Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model EquationsAbstract: For a nonlinear nonlocal operator differential equation of the first order, an abstract

Local Solvability and Blow-Up of Classical Solution to Some Initial-Boundary Value Problem for a Nonlinear Equation Governing Ion-Acoustic Waves in a PlasmaAbstract: An initial-boundary value problem for a Sobolev-type equation from the theory of ion

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