4 citations · 5 across the 6 of their papers we have counts for
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Remarks on criticality theory for Schrödinger operators and its application to wave equations with potentials
Motohiro Sobajima
In this paper, we give an alternative perspective of the criticality theory for (nonnegative) Schrödinger operators. Schrödinger operator is classified as subcritical/crit…
Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation
Motohiro Sobajima, Kimitoshi Tsutaya, Yuta Wakasugi
In this paper, blowup phenomenon for the semilinear wave equation with time-dependent speed of propagation and scattering damping is considered under the smallness of initial data.…
Optimal decay for one-dimensional damped wave equations with potentials via a variant of Nash inequality
Motohiro Sobajima
The optimality of decay properties of the one-dimensional damped wave equations with potentials belonging to a certain class is discussed. The typical ingredient is a variant of Na…
Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain
Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi +1
Lifespan estimates for semilinear damped wave equations of the form in a two dimensional exterior domain endowed with the Dirichlet boundary co…
An elementary proof of asymptotic behavior of solutions of
G. Metafune, M. Sobajima
We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations.
Scale invariant elliptic operators with singular coefficients
G. Metafune, N. Okazawa, M. Sobajima +1
We show that a realization of the operator generates a semigroup in if and only if $D_c=b+(N-2+c)^2/4…