Shrey Aryan

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20202026

most citedExistence of two-solitary waves with logarithmic distance for the nonlinear Klein-Gordon equation

7 citations · 8 across the 15 of their papers we have counts for

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Showing 2024 · math.APShow all

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math.AP2024

Soliton resolution for the energy-critical nonlinear heat equation in the radial case

Shrey Aryan

We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension $D \geq 3.$ Thus, every finite energy solution resolves, continuously in…

math.AP2024

Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature

Shrey Aryan, Michael B. Law

We establish a concavity principle for solutions to elliptic and parabolic equations on locally symmetric spaces with nonnegative sectional curvature, extending the results of Lang…