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Titlebook: Mathematical Physics and Its Interactions; In Honor of the 60th Shuji Machihara Conference proceedings 2024 The Editor(s) (if applicable) a

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楼主: ATE
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Fumio Hiroshima human exposure to nanomaterials. In order to investigate these questions, in vitro systems are used to rapidly and inexpensively predict the effects of nanomaterials at the cellular level. Recent advances in the toxicity testing of nanomaterials are beginning to shed light on the characteristics, u
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,Positive Solutions of Superlinear Elliptic Equations with Respect to the Schrödinger Operator,ain, a priori estimates for solutions and their gradients, the Harnack inequality and the boundary Harnack principle are presented. As applications, we also investigate the asymptotic behavior of positive solutions with isolated boundary singularities and the removability of isolated boundary singul
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,Convexity Phenomena Arising in an Area-Preserving Crystalline Curvature Flow,havior of polygonal curves by area-preserving crystalline curvature flow is discussed. We show “convexity phenomena”, that is, the solution polygon from a non-convex initial polygon becomes convex in a finite time. In order to show this assertion, we classify edge-disappearing patterns completely an
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Rate of Convergence for Approximate Solutions in Obstacle Problems for Nonlinear Operators, equations is shown by the nonlinear adjoint method introduced by Evans [.]. In particular, quasilinear operators arising in the level set mean curvature flow and the .-Laplace operator for . with obstacles can be applied.
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On a Compatibility Condition for the Navier-Stokes Solutions in Maximal ,-regularity Class,ions with no-slip condition on . in a bounded domain .. Our class of solutions is based on that of maximal .-regularity as ., where . denotes the Stokes operator in .. We show that if the solution belongs to such a class for ., then . and . necessarily satisfy .where . denotes the .-Helmholtz projec
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,Representations of Pauli–Fierz Type Models by Path Measures,oduce functional integral representations for Schrödinger type operators. Secondly those for Pauli–Fierz type Hamiltonians are shown. Finally inequalities derived from functional integral representations are shown.
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