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Abstract <p>A Cauchy problem for a model nonlinear evolution equation of high order is considered. Sufficient conditions for the existence and uniqueness of its global-in-time weak solution are obtained. An estimate of solution decay with respect to coordinates and time is derived.</p>

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Global-In-Time Solvability of a Cauchy problem for a Nonlinear Composite-Type Thermal-Electrical Model Equation

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • M. O. Korpusov

摘要

Abstract

A Cauchy problem for a model nonlinear evolution equation of high order is considered. Sufficient conditions for the existence and uniqueness of its global-in-time weak solution are obtained. An estimate of solution decay with respect to coordinates and time is derived.