Kuramoto–Velarde equation describes the spatiotemporal evo- lution of the morphology of steps on crystal surfaces, or the evolution of the spinoidal decomposition of phase separating systems in an exter- nal field. We prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation for each choice of the terminal time T.
$$H^1$$ Solutions for a Kuramoto–Velarde Type Equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 20:3(2023), pp. 110-135. [10.1007/s00009-023-02295-4]
$$H^1$$ Solutions for a Kuramoto–Velarde Type Equation
Coclite, Giuseppe Maria
;
2023-01-01
Abstract
Kuramoto–Velarde equation describes the spatiotemporal evo- lution of the morphology of steps on crystal surfaces, or the evolution of the spinoidal decomposition of phase separating systems in an exter- nal field. We prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation for each choice of the terminal time T.File in questo prodotto:
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