时间条件下具有非局部边界的抽象椭圆方程的注意事项

Kim Van HO THİ
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引用次数: 1

摘要

本文的主要目的是研究具有非局部时间条件的线性椭圆方程。该问题采用抽象的希尔伯特空间h,在具体形式下,椭圆方程在许多实际领域得到了广泛的研究,如地球物理、等离子体物理、生物电场问题等。在输入数据的某些假设条件下,我们得到了解的适定结果。在第一部分,我们研究了解的正则性。在第二部分中,我们研究了当某些参数趋于零时的渐近行为。
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Note on abstract elliptic equations with nonlocal boundary in time condition
Our main purpose of this paper is to study the linear elliptic equation with nonlocal in time condition. The problem is taken in abstract Hilbert space H. In concrete form, the elliptic equation has been extensively investigated in many practical areas, such as geophysics, plasma physics, bioelectric field problems. Under some assumptions of the input data, we obtain the well-posed result for the solution. In the first part, we study the regularity of the solution. In the second part, we investigate the asymptotic behaviour when some paramteres tend to zero.
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