Free vibrations for the equation $u_{tt}-u_{xx}+f(u)=0$ with $f$ sublinear

Lovicar, Vladimír

Large time behaviour of the solutions to some nonlinear evolution equations

Alain Haraux (1985)

Commentationes Mathematicae Universitatis Carolinae

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Essential norms of a potential theoretic boundary integral operator in $L^{1}$

Josef Král, Dagmar Medková (1998)

Mathematica Bohemica

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Let $G \subset ℝ^{m}$ $(m \geq 2)$ be an open set with a compact boundary $B$ and let $σ \geq 0$ be a finite measure on $B$ . Consider the space $L^{1} (σ)$ of all $σ$ -integrable functions on $B$ and, for each $f \in L^{1} (σ)$ , denote by $f σ$ the signed measure on $B$ arising by multiplying $σ$ by $f$ in the usual way. $𝒩_{σ} f$ denotes the weak normal derivative (w.r. to $G$ ) of the Newtonian (in case $m > 2$ ) or the logarithmic (in case $n = 2$ ) potential of $f σ$ , correspondingly. Sharp geometric estimates are obtained for the essential norms of the operator $𝒩_{σ} - α I$ (here $α \in ℝ$ ...

On the $f (H, K) p$ - theorems

Alois Švec (1976)

Commentationes Mathematicae Universitatis Carolinae

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Displaying similar documents to “Free vibrations for the equation u t t - u x x + f ( u ) = 0 with f sublinear”

Large time behaviour of the solutions to some nonlinear evolution equations

Essential norms of a potential theoretic boundary integral operator in L 1

On the f ( H , K ) p - theorems

Displaying similar documents to “Free vibrations for the equation $u_{t t} - u_{x x} + f (u) = 0$ with $f$ sublinear”

Essential norms of a potential theoretic boundary integral operator in $L^{1}$

On the $f (H, K) p$ - theorems