测度值半线性输运方程解算子的不变性

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-06-22 DOI:10.1007/s13324-025-01093-3

Sander C. Hille, Rainey Lyons, Adrian Muntean

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引用次数: 0

摘要

给出了在有限符号Radon测度空间中具有非线性反应项的测度值输运方程，如果初始条件具有勒贝格测度的正性和绝对连续性，则该输运方程保持正性的条件。此外，如果初始条件具有\(L^p\)正则密度，则解具有相同的性质。

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Invariance properties of the solution operator for measure-valued semilinear transport equations

We provide conditions under which we prove for measure-valued transport equations with non-linear reaction term in the space of finite signed Radon measures, that positivity is preserved, as well as absolute continuity with respect to Lebesgue measure, if the initial condition has that property. Moreover, if the initial condition has \(L^p\) regular density, then the solution has the same property.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.