Blow-Up Solutions and Global Solutions to Discrete <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.71501pt" id="M1" height="14.0433pt" version="1.1" viewBox="-0.0657574 -9.32829 10.7762 14.0433" width="10.7762pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g113-113" d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"/></g></svg>-Laplacian Parabolic Equations

<div>Graph <svg height="12.6107pt" id="M406" style="vertical-align:-0.2129993pt" version="1.1" viewbox="-0.0498162 -12.3977 6.51834 12.6107" width="6.51834pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.679945" width="6.41871" x="0" y="-11.6679"></rect><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M449 634C442 637 425 643 405 650C376 660 341 666 307 666C181 666 98 590 98 485C98 400 170 343 215 310L246 288C307 243 343 204 343 147C343 67 291 18 219 18C104 18 61 124 51 202L23 199C28 124 27 71 27 47C47 22 122 -16 204 -16C324 -16 428 60 428 174C428 256 379 309 307 360L276 382C223 419 179 455 179 516C179 576 221 632 293 632C379 632 410 564 418 487L448 490C446 536 446 592 449 634Z" id="g113-84"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="472" vert-adv-y="472"></glyph.data></g></svg>.</div>

Abstract and Applied Analysis

fig1

Figure 1

Figure 1: Blow-Up Solutions and Global Solutions to Discrete <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.71501pt" id="M1" height="14.0433pt" version="1.1" viewBox="-0.0657574 -9.32829 10.7762 14.0433" width="10.7762pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g113-113" d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"/></g></svg>-Laplacian Parabolic Equations 

Abstract and Applied Analysis

Blow-Up Solutions and Global Solutions to Discrete -Laplacian Parabolic Equations

Figure 1